Sr Examen
Otras calculadoras:
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- Límite de la función:
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Límite de (2*x/(1+2*x))^x
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Límite de (5+x)/(-6+3*x)
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Límite de (1-sqrt(1-x^2))/x^2
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Límite de (-2+x^3-3*x)/(-2+x)
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Expresiones idénticas
- (- dos *atan(tres *x)*sin(pi*x)+tan(x))/(sin(tres *x)*tan(dos *x)-asin(x)*atan(cuatro *x))
- ( menos 2 multiplicar por arco tangente de gente de (3 multiplicar por x) multiplicar por seno de ( número pi multiplicar por x) más tangente de (x)) dividir por ( seno de (3 multiplicar por x) multiplicar por tangente de (2 multiplicar por x) menos ar coseno de eno de (x) multiplicar por arco tangente de gente de (4 multiplicar por x))
- ( menos dos multiplicar por arco tangente de gente de (tres multiplicar por x) multiplicar por seno de ( número pi multiplicar por x) más tangente de (x)) dividir por ( seno de (tres multiplicar por x) multiplicar por tangente de (dos multiplicar por x) menos ar coseno de eno de (x) multiplicar por arco tangente de gente de (cuatro multiplicar por x))
- (-2atan(3x)sin(pix)+tan(x))/(sin(3x)tan(2x)-asin(x)atan(4x))
- -2atan3xsinpix+tanx/sin3xtan2x-asinxatan4x
- (-2*atan(3*x)*sin(pi*x)+tan(x)) dividir por (sin(3*x)*tan(2*x)-asin(x)*atan(4*x))
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Expresiones semejantes
- (-2*atan(3*x)*sin(pi*x)-tan(x))/(sin(3*x)*tan(2*x)-asin(x)*atan(4*x))
- (2*atan(3*x)*sin(pi*x)+tan(x))/(sin(3*x)*tan(2*x)-asin(x)*atan(4*x))
- (-2*atan(3*x)*sin(pi*x)+tan(x))/(sin(3*x)*tan(2*x)+asin(x)*atan(4*x))
- (-2*arctan(3*x)*sin(pi*x)+tan(x))/(sin(3*x)*tan(2*x)-arcsin(x)*arctan(4*x))
- (-2*atan(3*x)*sin(pi*x)+tan(x))/(sin(3*x)*tan(2*x)-arcsinx*atan(4*x))
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Expresiones con funciones
- Arcotangente arctan
- atan(2*x)/sin(pi*(20+2*x))
- atan(3*x)/(4*x)
- atan(2/(-1+x))
- atan(-1+x)
- atan(1/(1-x))
- Seno sin
- sin(1)/x
- sin(7*pi*x)/sin(8*pi*x)
- sin(7*x)/(5*x)
- sin(x)^(x^2)
- sin(x)/(-sin(7*x)+sin(6*x))
- Número Pi pi
- Piecewise((-9/2+9*x/2+9*((-1+x)^2)^(1/3)/2,x<2),(2-x-1/(-2+x),x>2))
- pi*acot(a)
- pi*x*(-2+x)/tan(x)
- pi*(68-x)/64
- pi^2*(n+n^2)
- Tangente tan
- tan(x)/(3*x)
- tan(8*x)/x
- tan(2*x)/(5*x)
- tan(-3+x)/(-9+x^2)
- tan(x)^2-cos(x)
- Seno sin
- sin(1)/x
- sin(7*pi*x)/sin(8*pi*x)
- sin(7*x)/(5*x)
- sin(x)^(x^2)
- sin(x)/(-sin(7*x)+sin(6*x))
- Tangente tan
- tan(x)/(3*x)
- tan(8*x)/x
- tan(2*x)/(5*x)
- tan(-3+x)/(-9+x^2)
- tan(x)^2-cos(x)
- Arcoseno arcsin
- asin(3*x)/(sqrt(2+x)-sqrt(2))
- asin(3*x)/tan(2*x)
- asin(3*x)/sin(2*x)
- asin(2*x)/tan(4*x)
- asin(x)^n
- Arcotangente arctan
- atan(2*x)/sin(pi*(20+2*x))
- atan(3*x)/(4*x)
- atan(2/(-1+x))
- atan(-1+x)
- atan(1/(1-x))
Límite de la función (-2*atan(3*x)*sin(pi*x)+tan(x))/(sin(3*x)*tan(2*x)-asin(x)*atan(4*x))
Solución
Ha introducido
[src]
/ -2*atan(3*x)*sin(pi*x) + tan(x) \ lim |-------------------------------------| x->oo\sin(3*x)*tan(2*x) - asin(x)*atan(4*x)/
$$\lim_{x \to \infty}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right)$$
Limit(((-2*atan(3*x))*sin(pi*x) + tan(x))/(sin(3*x)*tan(2*x) - asin(x)*atan(4*x)), x, oo, dir='-')
Método de l'Hopital
En el caso de esta función, no tiene sentido aplicar el Método de l'Hopital, ya que no existe la indeterminación tipo 0/0 or oo/oo
Gráfica
Respuesta rápida
[src]
/ -2*atan(3*x)*sin(pi*x) + tan(x) \ lim |-------------------------------------| x->oo\sin(3*x)*tan(2*x) - asin(x)*atan(4*x)/
$$\lim_{x \to \infty}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right)$$
Otros límites con x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = -\infty$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \infty$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \frac{\tan{\left(1 \right)}}{- \frac{\pi \operatorname{atan}{\left(4 \right)}}{2} + \sin{\left(3 \right)} \tan{\left(2 \right)}}$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \frac{\tan{\left(1 \right)}}{- \frac{\pi \operatorname{atan}{\left(4 \right)}}{2} + \sin{\left(3 \right)} \tan{\left(2 \right)}}$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right)$$
Más detalles con x→-oo
$$\lim_{x \to 0^-}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = -\infty$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \infty$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \frac{\tan{\left(1 \right)}}{- \frac{\pi \operatorname{atan}{\left(4 \right)}}{2} + \sin{\left(3 \right)} \tan{\left(2 \right)}}$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right) = \frac{\tan{\left(1 \right)}}{- \frac{\pi \operatorname{atan}{\left(4 \right)}}{2} + \sin{\left(3 \right)} \tan{\left(2 \right)}}$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{\sin{\left(\pi x \right)} \left(- 2 \operatorname{atan}{\left(3 x \right)}\right) + \tan{\left(x \right)}}{\sin{\left(3 x \right)} \tan{\left(2 x \right)} - \operatorname{asin}{\left(x \right)} \operatorname{atan}{\left(4 x \right)}}\right)$$
Más detalles con x→-oo