Question

Your last submission is used for your score. 1. [-/2 Points] Find the radius of convergence, R, of the series. $$ \sum_{n=1}^{\infty} \frac{(-1)^n x^n}{\sqrt[3]{n}} $$ R = [ ] Find the interval, I, of convergence of the series. I = [ ] Need Help? Read It SUBMIT ANSWER

Name: your last submission is used for your score 1 2 points find the radius of convergence r of the series sumn1infty frac 1n xnsqrt3n r find the interval i of convergence of the series i need h 38317
Uploaded: 2023-04-15T22:25:00-08:00
Duration: 3 min 40 s
Channel: Vincenzo Zaccaro
Description: your last submission is used for your score 1 2 points find the radius of convergence r of the series sumn1infty frac 1n xnsqrt3n r find the interval i of convergence of the series i need h 38317

          Your last submission is used for your score.
1. [-/2 Points]
Find the radius of convergence, R, of the series.
$$ \sum_{n=1}^{\infty} \frac{(-1)^n x^n}{\sqrt[3]{n}} $$
R = [ ]
Find the interval, I, of convergence of the series.
I = [ ]
Need Help?
Read It
SUBMIT ANSWER

$your last submission is used for your score 1 2 points find the radius of convergence r of the series sumn1infty frac 1n xnsqrt3n r find the interval i of convergence of the series i need h 38317$

Added by Stephanie W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

04/15/2023

Step 1

Step 2: Find the radius of convergence R. We can use the Ratio Test to find the radius of convergence. The Ratio Test states that if $L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| < 1$, then the series converges. Here, $a_n = \frac{(-1)^n Show more…

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Your last submission is used for your score. 1. [-/2 Points] Find the radius of convergence, R, of the series. $$ \sum_{n=1}^{\infty} \frac{(-1)^n x^n}{\sqrt[3]{n}} $$ R = [ ] Find the interval, I, of convergence of the series. I = [ ] Need Help? Read It SUBMIT ANSWER