Use the ratio test to determine whether ∑n=1^∞ an converges, where an is given in the following

Step 1: For the first problem, we will use the ratio test. The ratio test states that if the lim

Question

Use the ratio test to determine whether $\sum_{n=1}^{\infty} a_n$ converges, where $a_n$ is given in the following problems. State if the ratio test is inconclusive. 318. $a_n = 10^n/n!$ Use the root test to determine whether $\sum_{n=1}^{\infty} a_n$ converges, where $a_n$ is as follows. 329. $a_k = \left(\frac{2k^2-1}{k^2+3}\right)^k$

          Use the ratio test to determine whether $\sum_{n=1}^{\infty} a_n$ converges, where $a_n$ is given in the following problems. State if the ratio test is inconclusive.
318. $a_n = 10^n/n!$
Use the root test to determine whether $\sum_{n=1}^{\infty} a_n$ converges, where $a_n$ is as follows.
329. $a_k = \left(\frac{2k^2-1}{k^2+3}\right)^k$

Use the ratio test to determine whether ∑n=1^∞ an converges, where an is given in the following problems. State if the ratio test is inconclusive.
318. an = 10^n/n!
Use the root test to determine whether ∑n=1^∞ an converges, where an is as follows.
329. ak = ((2k^2-1)/(k^2+3))^k

Added by Amanda A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aymara Gallardo

08/24/2019

Step 1

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. If the limit is greater than 1, then the series diverges. If the limit is equal to 1, then the test is inconclusive. Show more…

Show all steps

Thanks for your feedback!

Use the ratio test to determine whether an converges, where an is given in the following problems. State if the ratio test is inconclusive 318.an = 10"/n! Use the root test to determine whether , an converges, where an is as follows. 2k2-1 . k2+3 329.ak