Question

lim x->0 e^sin x -1/ sin x
(-1 is not in the power)​

Answer 1

~Limit

Hi India ^_^

$Lim_{x->0} \: \frac{ {e}^{ \sin(x)} -1}{ \sin(x) }$

Use the L'Hopital :

$Lim_{x->0} \: \frac{ {e}^{ \sin(x)}. \cos(x) - 0 }{ \cos(x) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ {e}^{ \sin(0) }. \cos(0) }{ \cos(0) } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 1$

Hope it can help you !