For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not exist or find lim n→∞ an. (If an answer does not exist, enter DNE.) an = e−5/n lim n→∞ an = The divergence test applies. The divergence test does not apply. please show step by step clealry .

For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not exist or find lim n→∞ an. (If an answer does not exist, enter DNE.) an = e−5/n lim n→∞ an = The divergence test applies. The divergence test does not apply. please show step by step clealry .

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

For the sequence, determine if the divergence test applies and either state that

lim n→∞ a_n

does not exist or find

lim n→∞ a_n.

(If an answer does not exist, enter DNE.)

a_n = e^−5/n

lim n→∞ a_n =

The divergence test applies.

The divergence test does not apply.

please show step by step clealry .

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