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Límite de la función log(1+(10+x)^6*asin(10+x)^3)/(10+x)^6

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Solución

Ha introducido [src]
       /   /            6     3        \\
       |log\1 + (10 + x) *asin (10 + x)/|
  lim  |--------------------------------|
x->-10+|                   6            |
       \           (10 + x)             /
$$\lim_{x \to -10^+}\left(\frac{\log{\left(\left(x + 10\right)^{6} \operatorname{asin}^{3}{\left(x + 10 \right)} + 1 \right)}}{\left(x + 10\right)^{6}}\right)$$
Limit(log(1 + (10 + x)^6*asin(10 + x)^3)/(10 + x)^6, x, -10)
Gráfica
Respuesta rápida [src]
0
$$0$$
A la izquierda y a la derecha [src]
       /   /            6     3        \\
       |log\1 + (10 + x) *asin (10 + x)/|
  lim  |--------------------------------|
x->-10+|                   6            |
       \           (10 + x)             /
$$\lim_{x \to -10^+}\left(\frac{\log{\left(\left(x + 10\right)^{6} \operatorname{asin}^{3}{\left(x + 10 \right)} + 1 \right)}}{\left(x + 10\right)^{6}}\right)$$
0
$$0$$
= 1.20181292231018e-29
       /   /            6     3        \\
       |log\1 + (10 + x) *asin (10 + x)/|
  lim  |--------------------------------|
x->-10-|                   6            |
       \           (10 + x)             /
$$\lim_{x \to -10^-}\left(\frac{\log{\left(\left(x + 10\right)^{6} \operatorname{asin}^{3}{\left(x + 10 \right)} + 1 \right)}}{\left(x + 10\right)^{6}}\right)$$
0
$$0$$
= -8.17259257080681e-30
= -8.17259257080681e-30
Respuesta numérica [src]
1.20181292231018e-29
1.20181292231018e-29