Find the limit of the sequence $a _ { n } = n e ^ { 1 / n }$ .
A)0
B)2
C)-4
D)4
E)-1
F)1
G)-2
H)Divergent

Name: Find the limit of the sequence $a _ { n } = n e ^ { 1 / n }$ . A)0 B)2 C)-4 D)4 E)-1 F)1 G)-2 H)Divergent
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Question

Quizplus · Accepted Answer

The sequence $a_n = n e^{1/n}$ diverges as $n$ approaches infinity. This is because $e^{1/n}$ approaches 1, and $n$ approaches infinity, making the product $n \cdot 1 = n$ also approach infinity.

Find the Limit of the Sequence an=ne1/na _ { n } = n e ^ { 1 / n }an​=ne1/n

Find the Limit of the Sequence $a _ { n } = n e ^ { 1 / n }$