Find the limit.
-$\lim _ { x \rightarrow\infty } ( \ln x ) ^ { 2 / x }$
A) 1
B) 2
C) 0
D) $\mathrm { e } ^ { 2 }$

Name: Find the limit. -$\lim _ { x \rightarrow\infty } ( \ln x ) ^ { 2 / x }$ A) 1 B) 2 C) 0 D) $\mathrm { e } ^ { 2 }$
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Question

Find the limit.
-$\lim _ { x \rightarrow\infty  } ( \ln x ) ^ { 2 / x }$
A) 1
B) 2
C) 0
D) $\mathrm { e } ^ { 2 }$

Quizplus · Accepted Answer

The limit of $( \ln x ) ^ { 2 / x }$ as $x$ approaches infinity can be evaluated by recognizing that as $x$ approaches infinity, $2/x$ approaches 0. Therefore, the expression simplifies to $1^0$, which equals 1.

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Find the Limit $\lim _ { x \rightarrow\infty } ( \ln x ) ^ { 2 / x }$