Find the limit. $$\lim _ { x \rightarrow \infty } e ^ { 4 - x ^ { 4 } }$$
A) $\infty$
B) $- \infty$
C) $e ^ { 4 }$
D) 1
E) 0

Name: Find the limit. \[\lim _ { x \rightarrow \infty } e ^ { 4 - x ^ { 4 } }\] A) $\infty$ B) $- \infty$ C) $e ^ { 4 }$ D) 1 E) 0
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Question

Quizplus · Accepted Answer

As $x$ approaches infinity, $x^4$ also approaches infinity, making $4 - x^4$ approach negative infinity. Therefore, $e$ raised to the power of negative infinity approaches 0.

Find the Limit lim⁡x→∞e4−x4\lim _ { x \rightarrow \infty } e ^ { 4 - x ^ { 4 } }x→∞lim​e4−x4

Find the Limit $\lim _ { x \rightarrow \infty } e ^ { 4 - x ^ { 4 } }$