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Otras calculadoras:
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- Límite de la función:
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Límite de 4-3*x+2*x^2
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Límite de ((3+x)/(-2+x))^x
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Límite de (-8+x^3)/(-6+x+x^2)
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Límite de (-3+sqrt(1+2*x))/(sqrt(-2+x)-sqrt(2))
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Expresiones idénticas
- x*log(uno +(seis +x)*sin(x)*tan(x))/(tan(tres *x)^ dos *sin(cinco *x)-tan(cuatro *x)^ dos *sin(x))
- x multiplicar por logaritmo de (1 más (6 más x) multiplicar por seno de (x) multiplicar por tangente de (x)) dividir por ( tangente de (3 multiplicar por x) al cuadrado multiplicar por seno de (5 multiplicar por x) menos tangente de (4 multiplicar por x) al cuadrado multiplicar por seno de (x))
- x multiplicar por logaritmo de (uno más (seis más x) multiplicar por seno de (x) multiplicar por tangente de (x)) dividir por ( tangente de (tres multiplicar por x) en el grado dos multiplicar por seno de (cinco multiplicar por x) menos tangente de (cuatro multiplicar por x) en el grado dos multiplicar por seno de (x))
- x*log(1+(6+x)*sin(x)*tan(x))/(tan(3*x)2*sin(5*x)-tan(4*x)2*sin(x))
- x*log1+6+x*sinx*tanx/tan3*x2*sin5*x-tan4*x2*sinx
- x*log(1+(6+x)*sin(x)*tan(x))/(tan(3*x)²*sin(5*x)-tan(4*x)²*sin(x))
- x*log(1+(6+x)*sin(x)*tan(x))/(tan(3*x) en el grado 2*sin(5*x)-tan(4*x) en el grado 2*sin(x))
- xlog(1+(6+x)sin(x)tan(x))/(tan(3x)^2sin(5x)-tan(4x)^2sin(x))
- xlog(1+(6+x)sin(x)tan(x))/(tan(3x)2sin(5x)-tan(4x)2sin(x))
- xlog1+6+xsinxtanx/tan3x2sin5x-tan4x2sinx
- xlog1+6+xsinxtanx/tan3x^2sin5x-tan4x^2sinx
- x*log(1+(6+x)*sin(x)*tan(x)) dividir por (tan(3*x)^2*sin(5*x)-tan(4*x)^2*sin(x))
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Expresiones semejantes
- x*log(1+(6-x)*sin(x)*tan(x))/(tan(3*x)^2*sin(5*x)-tan(4*x)^2*sin(x))
- x*log(1-(6+x)*sin(x)*tan(x))/(tan(3*x)^2*sin(5*x)-tan(4*x)^2*sin(x))
- x*log(1+(6+x)*sin(x)*tan(x))/(tan(3*x)^2*sin(5*x)+tan(4*x)^2*sin(x))
- x*log(1+(6+x)*sinx*tan(x))/(tan(3*x)^2*sin(5*x)-tan(4*x)^2*sinx)
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Expresiones con funciones
- Logaritmo log
- log(sin(x))*tan(x)
- log(e+x)^(1/x)
- log(1+2*x)/x
- log((1+x)/(-1+x))
- log(x)/(1+x)
- Seno sin
- sin(8*x)/x
- sin(5*x)/(7*x)
- sin(6*x)/tan(2*x)
- sin(-2+x)/(-2+x)
- sin(9*x)*tan(6*x)/(1-cos(10*x))
- Tangente tan
- tan(2*x)/(2*x^2)
- tan(pi*x/2)/log(1-x)
- tan(5*x)/(3*x)
- tan(m*x)/sin(n*x)
- tan(3*x)/(7*x)
- Tangente tan
- tan(2*x)/(2*x^2)
- tan(pi*x/2)/log(1-x)
- tan(5*x)/(3*x)
- tan(m*x)/sin(n*x)
- tan(3*x)/(7*x)
- Seno sin
- sin(8*x)/x
- sin(5*x)/(7*x)
- sin(6*x)/tan(2*x)
- sin(-2+x)/(-2+x)
- sin(9*x)*tan(6*x)/(1-cos(10*x))
- Tangente tan
- tan(2*x)/(2*x^2)
- tan(pi*x/2)/log(1-x)
- tan(5*x)/(3*x)
- tan(m*x)/sin(n*x)
- tan(3*x)/(7*x)
- Seno sin
- sin(8*x)/x
- sin(5*x)/(7*x)
- sin(6*x)/tan(2*x)
- sin(-2+x)/(-2+x)
- sin(9*x)*tan(6*x)/(1-cos(10*x))
Límite de la función x*log(1+(6+x)*sin(x)*tan(x))/(tan(3*x)^2*sin(5*x)-tan(4*x)^2*sin(x))
Solución
Ha introducido
[src]
/ x*log(1 + (6 + x)*sin(x)*tan(x)) \
lim |-------------------------------------|
x->oo| 2 2 |
\tan (3*x)*sin(5*x) - tan (4*x)*sin(x)/
$$\lim_{x \to \infty}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right)$$
Limit((x*log(1 + ((6 + x)*sin(x))*tan(x)))/(tan(3*x)^2*sin(5*x) - tan(4*x)^2*sin(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]
/ x*log(1 + (6 + x)*sin(x)*tan(x)) \
lim |-------------------------------------|
x->oo| 2 2 |
\tan (3*x)*sin(5*x) - tan (4*x)*sin(x)/
$$\lim_{x \to \infty}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right)$$
Otros límites con x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right)$$
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = \frac{6}{29}$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = \frac{6}{29}$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = - \frac{\log{\left(1 + 7 \sin{\left(1 \right)} \tan{\left(1 \right)} \right)}}{- \sin{\left(5 \right)} \tan^{2}{\left(3 \right)} + \sin{\left(1 \right)} \tan^{2}{\left(4 \right)}}$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = - \frac{\log{\left(1 + 7 \sin{\left(1 \right)} \tan{\left(1 \right)} \right)}}{- \sin{\left(5 \right)} \tan^{2}{\left(3 \right)} + \sin{\left(1 \right)} \tan^{2}{\left(4 \right)}}$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right)$$
Más detalles con x→-oo
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = \frac{6}{29}$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = \frac{6}{29}$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = - \frac{\log{\left(1 + 7 \sin{\left(1 \right)} \tan{\left(1 \right)} \right)}}{- \sin{\left(5 \right)} \tan^{2}{\left(3 \right)} + \sin{\left(1 \right)} \tan^{2}{\left(4 \right)}}$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right) = - \frac{\log{\left(1 + 7 \sin{\left(1 \right)} \tan{\left(1 \right)} \right)}}{- \sin{\left(5 \right)} \tan^{2}{\left(3 \right)} + \sin{\left(1 \right)} \tan^{2}{\left(4 \right)}}$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{x \log{\left(\left(x + 6\right) \sin{\left(x \right)} \tan{\left(x \right)} + 1 \right)}}{- \sin{\left(x \right)} \tan^{2}{\left(4 x \right)} + \sin{\left(5 x \right)} \tan^{2}{\left(3 x \right)}}\right)$$
Más detalles con x→-oo