Answer
Proof, See work below
Work Step by Step
Verify the formula
$\frac{(2k-2)!}{(2k)!} = \frac{1}{(2k)(2k-1)} $
Simplify the factorial
$\frac{(2k-2)!}{(2k)(2k-1)(2k-2)!}$
Cancel out the factorial terms
$ \frac{1}{(2k)(2k-1)}$
Verified
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 9 - Infinite Series - 9.6 Exercises - Page 633: 2
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
