Approximate the Limit Accurate to Three Decimal Places $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x }$

Multiple Choice

Approximate the limit accurate to three decimal places. $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x }$

A) $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx - 54.598$
B) $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx 54.598$
C) $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx - 90.017$
D) $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx 90.017$
E) $\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx 32.786$