Question

8. Use the Ratio Test to determine whether the series is convergent or divergent. $$ \sum_{n=1}^{\infty} \frac{n^{400} 400^{n}}{n!} $$ Identify $$ a_{n} $$ Evaluate the following limit. $$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$ Since $$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$ ? 1, ---Select---

Name: 8 use the ratio test to determine whether the series is convergent or divergent sumn1infty fracn400 400nn identify an evaluate the following limit limn to infty left fracan1an right sin 81538
Uploaded: 2023-04-27T18:08:30-08:00
Duration: 2 min 16 s
Channel: Israel Hernandez
Description: 8 use the ratio test to determine whether the series is convergent or divergent sumn1infty fracn400 400nn identify an evaluate the following limit limn to infty left fracan1an right sin 81538

          8.
Use the Ratio Test to determine whether the series is convergent or divergent.
$$ \sum_{n=1}^{\infty} \frac{n^{400} 400^{n}}{n!} $$
Identify $$ a_{n} $$
Evaluate the following limit.
$$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$
Since $$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$ ? 1, ---Select---

$8 use the ratio test to determine whether the series is convergent or divergent sumn1infty fracn400 400nn identify an evaluate the following limit limn to infty left fracan1an right sin 81538$

Added by Lisa S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Israel Hernandez

04/27/2023

Step 1

We need to identify $$ a_{n} $$. From the series, $$ a_{n} = \frac{n^{400} 400^{n}}{n!} $$. Show more…

Show all steps

Thanks for your feedback!

8. Use the Ratio Test to determine whether the series is convergent or divergent. $$ \sum_{n=1}^{\infty} \frac{n^{400} 400^{n}}{n!} $$ Identify $$ a_{n} $$ Evaluate the following limit. $$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$ Since $$ \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_{n}} \right| $$ ? 1, ---Select---