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Question 6 (7 points) Listen 4. (7 points) Determine whether $\sum_{n=1}^{\infty} \frac{n!}{10^{4n}}$ converges or diverges. Justify your answer by citing a relevant test.

Name: question 6 7 points listen 4 7 points determine whether sumn1infty fracn104n converges or diverges justify your answer by citing a relevant test 72068
Uploaded: 2020-04-09T21:13:42-08:00
Duration: 53 s
Channel: Linh Vu
Description: question 6 7 points listen 4 7 points determine whether sumn1infty fracn104n converges or diverges justify your answer by citing a relevant test 72068

          Question 6 (7 points)
Listen
4. (7 points) Determine whether $\sum_{n=1}^{\infty} \frac{n!}{10^{4n}}$ converges or diverges. Justify your answer by citing a relevant test.

$question 6 7 points listen 4 7 points determine whether sumn1infty fracn104n converges or diverges justify your answer by citing a relevant test 72068$

Added by Jacob M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linh Vu

04/09/2020

Step 1

The series involves factorials and powers, which suggests that the Ratio Test would be a suitable test to apply. The Ratio Test states that for a series $\sum a_n$, if $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = L$, then: 1. If $L < 1$, the series Show more…

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Question 6 (7 points) Listen 4. (7 points) Determine whether $\sum_{n=1}^{\infty} \frac{n!}{10^{4n}}$ converges or diverges. Justify your answer by citing a relevant test.