Sr Examen
Otras calculadoras
- Serie de Taylor paso a paso
- Serie de Fourier paso a paso
- Ecuaciones diferenciales paso a paso
- Producto de la serie
-
¿Cómo usar?
- Suma de la serie:
-
n/(2*n+1)
-
6/(n^2-10n+24)
- x^2/(1+n^3*x^3)
-
7/(n^2+n)
-
Expresiones idénticas
- sin((pi/ ciento ochenta)*(4n- uno))
- seno de (( número pi dividir por 180) multiplicar por (4n menos 1))
- seno de (( número pi dividir por ciento ochenta) multiplicar por (4n menos uno))
- sin((pi/180)(4n-1))
- sinpi/1804n-1
- sin((pi dividir por 180)*(4n-1))
-
Expresiones semejantes
- sin((pi/180)*(4n+1))
-
Expresiones con funciones
- Seno sin
- sin(pi)
- sin(n*pi/8)/(n*pi/8)
- sin(n^(1/2)/(2n+1))
- sin(n*π*0.33)/n
- sin(n)^2/(n^2+1)
Suma de la serie sin((pi/180)*(4n-1))
Solución
Ha introducido
[src]
45 ___ \ ` \ / pi \ ) sin|---*(4*n - 1)| / \180 / /__, n = 1
$$\sum_{n=1}^{45} \sin{\left(\frac{\pi}{180} \left(4 n - 1\right) \right)}$$
Sum(sin((pi/180)*(4*n - 1)), (n, 1, 45))
Velocidad de la convergencia de la serie
Respuesta
[src]
/ ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________ \ / ___________\ / ___________\ / ___________\ / ___________\ / ___________\ / ___________ \ / ___________\ / ___________ \ / ___________\
| / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___ / ___\| | / ___\ / ___ | | / ___ / ___\| | / ___\ / ___ | | / ___ / ___\| | / ___ | | / ___ / ___\| | / ___ | | / ___ / ___\| | / ___ | | / ___ / ___\| | / ___ | | / ___\ / ___ | | / ___ | | / ___\ / ___ | | / ___ | | / ___ / ___\| | / ___ | | / ___ / ___\| | / ___ |
___________ | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 ___ |1 \/ 5 || | / 5 \/ 5 ___ |1 \/ 5 || | ___ |1 \/ 5 | ___ / 5 \/ 5 | | / 5 \/ 5 ___ |1 \/ 5 || | ___ |1 \/ 5 | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ |1 \/ 5 | ___ / 5 \/ 5 | | ___ / 5 \/ 5 | | ___ |1 \/ 5 | ___ / 5 \/ 5 | | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 | | ___ / 5 \/ 5 ___ |1 \/ 5 || | ___ / 5 \/ 5 |
___ ___ / ___ / ___\ | / - - ----- \/ 3 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| | / - - ----- \/ 3 *|- + -----|| | \/ 2 * / - - ----- \/ 2 *|- + -----|| | / - + ----- \/ 3 *|- - -----|| | \/ 2 * / - + ----- \/ 2 *|- - -----|| | / - + ----- \/ 3 *|- - -----|| |\/ 2 * / - + ----- \/ 2 *|- - -----|| | / - - ----- \/ 3 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| | / - - ----- \/ 3 *|- + -----|| |\/ 2 * / - - ----- \/ 2 *|- + -----|| | / - + ----- \/ 3 *|- - -----|| |\/ 2 *|- - -----| \/ 2 * / - + ----- | | / - + ----- \/ 3 *|- - -----|| |\/ 2 *|- - -----| \/ 2 * / - + ----- | |\/ 2 * / - - ----- \/ 2 *|- + -----|| | ___ \/ 3 * / - - ----- | |\/ 2 * / - + ----- \/ 2 *|- - -----|| | ___ \/ 3 * / - + ----- | |\/ 2 * / - + ----- \/ 2 *|- - -----|| | ___ \/ 3 * / - + ----- | |\/ 2 * / - + ----- \/ 2 *|- - -----|| | ___ \/ 3 * / - + ----- | |\/ 2 *|- + -----| \/ 2 * / - - ----- | | ___ \/ 3 * / - - ----- | |\/ 2 *|- + -----| \/ 2 * / - - ----- | | ___ \/ 3 * / - - ----- | | \/ 2 * / - - ----- \/ 2 *|- + -----|| | ___ \/ 3 * / - - ----- | | \/ 2 * / - + ----- \/ 2 *|- - -----|| | ___ \/ 3 * / - + ----- |
\/ 2 \/ 6 ___ / 5 \/ 5 ___ |1 \/ 5 | |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| |\/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \/ 8 8 \4 4 /| | \4 4 / \/ 8 8 | | \/ 8 8 \4 4 /| | \4 4 / \/ 8 8 | | \/ 8 8 \4 4 /| |1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| | 1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| | 1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| |1 \/ 5 \/ 8 8 | | \4 4 / \/ 8 8 | | 1 \/ 5 \/ 8 8 | | \4 4 / \/ 8 8 | |1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| | 1 \/ 5 \/ 8 8 | | \/ 8 8 \4 4 /| |1 \/ 5 \/ 8 8 | /pi\ / pi\ /5*pi\ /7*pi\ /7*pi\ /11*pi\ /11*pi\ /13*pi\ /13*pi\ /17*pi\ /17*pi\ /19*pi\ /23*pi\ /29*pi\ /31*pi\ /37*pi\ /41*pi\ /43*pi\ /47*pi\ /49*pi\ /53*pi\ /59*pi\ /61*pi\ /67*pi\ /71*pi\ /73*pi\ /77*pi\ /79*pi\ /83*pi\ /89*pi\
----- + ----- + \/ 2 * / - + ----- + \/ 2 *|- + -----| + |---------------- + -----------------|*|---------------------- + -----------------| + |---------------- - -----------------|*|- ---------------------- - -----------------| + |---------------- + -----------------|*|- ---------------------- - -----------------| + |---------------- - -----------------|*|---------------------- + -----------------| + |- ---------------- + -----------------|*|---------------------- - -----------------| + |- ---------------- - -----------------|*|---------------------- - -----------------| + |- ---------------- + -----------------|*|----------------- - ----------------------| + |- ---------------- - -----------------|*|----------------- - ----------------------| + |---------------------- + -----------------|*|- + ----- + ----------------------| + |---------------------- + -----------------|*|- - + ----- + ----------------------| + |---------------------- - -----------------|*|- - + ----- + ----------------------| + |---------------------- - -----------------|*|- - ----- + ----------------------| + |----------------- - ----------------------|*|- - - ----- + ----------------------| + |----------------- - ----------------------|*|- + ----- + ----------------------| + |- ---------------------- - -----------------|*|- - - ----- + ----------------------| + |- ---------------------- - -----------------|*|- - ----- + ----------------------| + sin|--| + sin|---| + sin|----| + sin|----| + sin|----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----| + sin|-----|
2 2 \/ 8 8 \4 4 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 / \8 8 2 / \ 2 2 / \ 8 8 2 / \ 2 2 / \ 8 8 2 / \ 2 2 / \8 8 2 / \ 2 2 / \ 8 8 2 / \ 2 2 / \8 8 2 / \ 2 2 / \ 8 8 2 / \ 2 2 / \8 8 2 / \36/ \180/ \ 36 / \ 36 / \180 / \ 36 / \ 180 / \ 36 / \ 180 / \ 36 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 / \ 180 /
$$\left(- \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) \left(- \frac{\sqrt{5}}{8} + \frac{1}{8} + \frac{\sqrt{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \left(- \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} - \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) \left(- \frac{\sqrt{5}}{8} - \frac{1}{8} + \frac{\sqrt{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \left(- \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) \left(\frac{\sqrt{3} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \left(- \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) \left(- \frac{\sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{3} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) + \left(- \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) \left(- \frac{\sqrt{5}}{8} - \frac{1}{8} + \frac{\sqrt{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \sin{\left(\frac{\pi}{180} \right)} + \sin{\left(\frac{\pi}{36} \right)} + \sin{\left(\frac{7 \pi}{180} \right)} + \left(- \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) \left(\frac{1}{8} + \frac{\sqrt{5}}{8} + \frac{\sqrt{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \left(- \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) \left(- \frac{\sqrt{3} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} - \frac{\sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \left(- \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) \left(- \frac{\sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} - \frac{\sqrt{3} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) + \sin{\left(\frac{11 \pi}{180} \right)} + \sin{\left(\frac{13 \pi}{180} \right)} + \sin{\left(\frac{17 \pi}{180} \right)} + \sin{\left(\frac{19 \pi}{180} \right)} + \left(\frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) \left(- \frac{\sqrt{3} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \sin{\left(\frac{23 \pi}{180} \right)} + \left(- \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} - \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) \left(- \frac{\sqrt{3} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \sin{\left(\frac{5 \pi}{36} \right)} + \left(\frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) \left(- \frac{1}{8} + \frac{\sqrt{5}}{8} + \frac{\sqrt{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \sin{\left(\frac{29 \pi}{180} \right)} + \sin{\left(\frac{31 \pi}{180} \right)} + \sin{\left(\frac{7 \pi}{36} \right)} + \left(- \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) \left(- \frac{\sqrt{5}}{8} + \frac{1}{8} + \frac{\sqrt{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \sin{\left(\frac{37 \pi}{180} \right)} + \sin{\left(\frac{41 \pi}{180} \right)} + \left(- \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) \left(- \frac{\sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2} + \frac{\sqrt{3} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2}\right) + \sin{\left(\frac{43 \pi}{180} \right)} + \frac{\sqrt{2}}{2} + \sin{\left(\frac{47 \pi}{180} \right)} + \sin{\left(\frac{49 \pi}{180} \right)} + \sin{\left(\frac{53 \pi}{180} \right)} + \sin{\left(\frac{11 \pi}{36} \right)} + \sin{\left(\frac{59 \pi}{180} \right)} + \left(- \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{2} + \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) \left(- \frac{1}{8} + \frac{\sqrt{5}}{8} + \frac{\sqrt{3} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{2}\right) + \sin{\left(\frac{61 \pi}{180} \right)} + \left(\frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) \left(\frac{1}{8} + \frac{\sqrt{5}}{8} + \frac{\sqrt{3} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2}\right) + \sin{\left(\frac{13 \pi}{36} \right)} + \sin{\left(\frac{67 \pi}{180} \right)} + \sin{\left(\frac{71 \pi}{180} \right)} + \sin{\left(\frac{73 \pi}{180} \right)} + \sin{\left(\frac{77 \pi}{180} \right)} + \sin{\left(\frac{79 \pi}{180} \right)} + \left(\frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) \left(\frac{\sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{2} + \frac{\sqrt{3} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{2}\right) + \sin{\left(\frac{83 \pi}{180} \right)} + \sin{\left(\frac{17 \pi}{36} \right)} + \sin{\left(\frac{89 \pi}{180} \right)} + \sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right) + \frac{\sqrt{6}}{2} + \sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}$$
sqrt(2)/2 + sqrt(6)/2 + sqrt(2)*sqrt(5/8 + sqrt(5)/8) + sqrt(2)*(1/4 + sqrt(5)/4) + (sqrt(5/8 - sqrt(5)/8)/2 + sqrt(3)*(1/4 + sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)*(1/4 + sqrt(5)/4)/2) + (sqrt(5/8 - sqrt(5)/8)/2 - sqrt(3)*(1/4 + sqrt(5)/4)/2)*(-sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 - sqrt(2)*(1/4 + sqrt(5)/4)/2) + (sqrt(5/8 + sqrt(5)/8)/2 + sqrt(3)*(1/4 - sqrt(5)/4)/2)*(-sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2) + (sqrt(5/8 + sqrt(5)/8)/2 - sqrt(3)*(1/4 - sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 + sqrt(2)*(1/4 - sqrt(5)/4)/2) + (-sqrt(5/8 - sqrt(5)/8)/2 + sqrt(3)*(1/4 + sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 - sqrt(2)*(1/4 + sqrt(5)/4)/2) + (-sqrt(5/8 - sqrt(5)/8)/2 - sqrt(3)*(1/4 + sqrt(5)/4)/2)*(sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 - sqrt(2)*(1/4 + sqrt(5)/4)/2) + (-sqrt(5/8 + sqrt(5)/8)/2 + sqrt(3)*(1/4 - sqrt(5)/4)/2)*(sqrt(2)*(1/4 - sqrt(5)/4)/2 - sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2) + (-sqrt(5/8 + sqrt(5)/8)/2 - sqrt(3)*(1/4 - sqrt(5)/4)/2)*(sqrt(2)*(1/4 - sqrt(5)/4)/2 - sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2) + (sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 + sqrt(2)*(1/4 + sqrt(5)/4)/2)*(1/8 + sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + (sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 + sqrt(2)*(1/4 - sqrt(5)/4)/2)*(-1/8 + sqrt(5)/8 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2) + (sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2)*(-1/8 + sqrt(5)/8 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2) + (sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2)*(1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2) + (sqrt(2)*(1/4 + sqrt(5)/4)/2 - sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2)*(-1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + (sqrt(2)*(1/4 + sqrt(5)/4)/2 - sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2)*(1/8 + sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + (-sqrt(2)*sqrt(5/8 - sqrt(5)/8)/2 - sqrt(2)*(1/4 + sqrt(5)/4)/2)*(-1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 - sqrt(5)/8)/2) + (-sqrt(2)*sqrt(5/8 + sqrt(5)/8)/2 - sqrt(2)*(1/4 - sqrt(5)/4)/2)*(1/8 - sqrt(5)/8 + sqrt(3)*sqrt(5/8 + sqrt(5)/8)/2) + sin(pi/36) + sin(pi/180) + sin(5*pi/36) + sin(7*pi/36) + sin(7*pi/180) + sin(11*pi/36) + sin(11*pi/180) + sin(13*pi/36) + sin(13*pi/180) + sin(17*pi/36) + sin(17*pi/180) + sin(19*pi/180) + sin(23*pi/180) + sin(29*pi/180) + sin(31*pi/180) + sin(37*pi/180) + sin(41*pi/180) + sin(43*pi/180) + sin(47*pi/180) + sin(49*pi/180) + sin(53*pi/180) + sin(59*pi/180) + sin(61*pi/180) + sin(67*pi/180) + sin(71*pi/180) + sin(73*pi/180) + sin(77*pi/180) + sin(79*pi/180) + sin(83*pi/180) + sin(89*pi/180)
Gráfico
Ejemplos de hallazgo de la suma de la serie
- Suma de la serie de potencias
x^n/n
(x-1)^n
- Factorial
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
- Serie de Flint Hills
csc(n)^2/n^3
- Serie de cuadrados inversos
1/n^2
1/n^4
1/n^6
- Serie armónica
1/n
- Serie de Grandi
(-1)^n
- Serie alternada
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
- Serie de Newton-Mercator
(-1)^(n + 1)/n*x^n
- Investigar la convergencia de la serie
(3*n - 1)/(-5)^n