Find the Limit and Determine If the Function Is Continuous $$\lim _ { x \rightarrow 1 } \cos \left( \frac { 2 \pi } { 3 } \ln \left( e ^ { x } \right) \right)$$

Multiple Choice

Find the limit and determine if the function is continuous at the point being approached.
- $$\lim _ { x \rightarrow 1 } \cos \left( \frac { 2 \pi } { 3 } \ln \left( e ^ { x } \right) \right)$$

A) $- \frac { 1 } { 2 }$ ; no
B) does not exist; no
C) 1; yes
D) $- \frac { 1 } { 2 } ;$ yes