Question
Asked Jan 11, 2020
37 views
Define the double factorial of n, denoted n!!, as follows:
S1.3.5
| 2.4.6
-(п — 2) п
-(п — 2) 3
if n is odd
n!!
if n is even
where (-1)! = 0!! = 1.
%3D
Find the radius of convergence for the given power series.
9" . n! · (3n + 5)! - (2n)!!
:(-2x – 5)"
8" - [(n + 8)!]3 - (4n – 3)!
The radius of convergence, R =
help_outline

Image Transcriptionclose

Define the double factorial of n, denoted n!!, as follows: S1.3.5 | 2.4.6 -(п — 2) п -(п — 2) 3 if n is odd n!! if n is even where (-1)! = 0!! = 1. %3D Find the radius of convergence for the given power series. 9" . n! · (3n + 5)! - (2n)!! :(-2x – 5)" 8" - [(n + 8)!]3 - (4n – 3)! The radius of convergence, R =

fullscreen
check_circle

Expert Answer

Step 1

The given power series is,

Calculus homework question answer, step 1, image 1
fullscreen
Step 2

Obtain the radius of convergence of the given power series as follows.

Calculus homework question answer, step 2, image 1
fullscreen
Step 3

By ratio test, the given powe...

Calculus homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other