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

question 113

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) \(\lim _ { x \rightarrow 0 } ( 1 + 4 x ) ^ { 1 / x } \approx 32.786\)

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