Sr Examen

Otras calculadoras

Suma de la serie (x^(2*n))/cos(n*x)



=

Solución

Ha introducido [src]
  20          
____          
\   `         
 \       2*n  
  \     x     
  /   --------
 /    cos(n*x)
/___,         
n = 0         
n=020x2ncos(nx)\sum_{n=0}^{20} \frac{x^{2 n}}{\cos{\left(n x \right)}}
Sum(x^(2*n)/cos(n*x), (n, 0, 20))
Respuesta [src]
       2         4          6          8         10         12         14         16         18          20          22          24          26          28          30          32          34          36          38          40   
      x         x          x          x         x          x          x          x          x           x           x           x           x           x           x           x           x           x           x           x     
1 + ------ + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + ---------
    cos(x)   cos(2*x)   cos(3*x)   cos(4*x)   cos(5*x)   cos(6*x)   cos(7*x)   cos(8*x)   cos(9*x)   cos(10*x)   cos(11*x)   cos(12*x)   cos(13*x)   cos(14*x)   cos(15*x)   cos(16*x)   cos(17*x)   cos(18*x)   cos(19*x)   cos(20*x)
x40cos(20x)+x38cos(19x)+x36cos(18x)+x34cos(17x)+x32cos(16x)+x30cos(15x)+x28cos(14x)+x26cos(13x)+x24cos(12x)+x22cos(11x)+x20cos(10x)+x18cos(9x)+x16cos(8x)+x14cos(7x)+x12cos(6x)+x10cos(5x)+x8cos(4x)+x6cos(3x)+x4cos(2x)+x2cos(x)+1\frac{x^{40}}{\cos{\left(20 x \right)}} + \frac{x^{38}}{\cos{\left(19 x \right)}} + \frac{x^{36}}{\cos{\left(18 x \right)}} + \frac{x^{34}}{\cos{\left(17 x \right)}} + \frac{x^{32}}{\cos{\left(16 x \right)}} + \frac{x^{30}}{\cos{\left(15 x \right)}} + \frac{x^{28}}{\cos{\left(14 x \right)}} + \frac{x^{26}}{\cos{\left(13 x \right)}} + \frac{x^{24}}{\cos{\left(12 x \right)}} + \frac{x^{22}}{\cos{\left(11 x \right)}} + \frac{x^{20}}{\cos{\left(10 x \right)}} + \frac{x^{18}}{\cos{\left(9 x \right)}} + \frac{x^{16}}{\cos{\left(8 x \right)}} + \frac{x^{14}}{\cos{\left(7 x \right)}} + \frac{x^{12}}{\cos{\left(6 x \right)}} + \frac{x^{10}}{\cos{\left(5 x \right)}} + \frac{x^{8}}{\cos{\left(4 x \right)}} + \frac{x^{6}}{\cos{\left(3 x \right)}} + \frac{x^{4}}{\cos{\left(2 x \right)}} + \frac{x^{2}}{\cos{\left(x \right)}} + 1
1 + x^2/cos(x) + x^4/cos(2*x) + x^6/cos(3*x) + x^8/cos(4*x) + x^10/cos(5*x) + x^12/cos(6*x) + x^14/cos(7*x) + x^16/cos(8*x) + x^18/cos(9*x) + x^20/cos(10*x) + x^22/cos(11*x) + x^24/cos(12*x) + x^26/cos(13*x) + x^28/cos(14*x) + x^30/cos(15*x) + x^32/cos(16*x) + x^34/cos(17*x) + x^36/cos(18*x) + x^38/cos(19*x) + x^40/cos(20*x)

    Ejemplos de hallazgo de la suma de la serie