Find the Limit and Determine If the Function Is Continuous $$\lim _ { x \rightarrow 0 } \sin ^ { - 1 } \left( e ^ { x ^ { 5 } } \right)$$

Multiple Choice

Find the limit and determine if the function is continuous at the point being approached.
- $$\lim _ { x \rightarrow 0 } \sin ^ { - 1 } \left( e ^ { x ^ { 5 } } \right)$$

A) $\frac { \pi } { 2 }$ ; yes
B) $\frac { \pi } { 4 }$ ; no
C) does not exist; no
D) $\frac { \pi } { 4 }$ ; yes