Why use the hypothesis of n=m-1 with a step-by-step explanation of the solution and a clear line, please = 0 Ohen m =0 A5o, the term yresponding Since (m-1)! to m=o vanisnes Therepre Changimg tue variable of Summation to n=m -) 2n+1 Σ n=0 n!r(n+v+2) 2an+V+1 2n+ V+1 (-1)" x n=a n! P(n+l +v+1) 22n+v+1 8. - V * (-1n x2h+V+1 2n+V+1 3 r (n+1+v+1) ーズ レ+」(x) Jutl -V Hence a [zVJ, (x)] =-x' JrH (x) (Proved)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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Why use the hypothesis of n=m-1
with a step-by-step explanation of
the solution and a clear line, please
= 0 Ohen m = 0 A5o, the term yresponding
Since (m-1)!
to m =o vanisnes
Therepre Changimg tue variable of Summation to n=m -)
2n+1
Σ
n=0 n!r(n+v+2) 2an+V+1
2n+ V+1
(-1)" x
n=a n! P(n+l +v+1) 22n+V+1
8.
- V
* (-1n x2h+V+1
2n+V+1
3
r (n+1+v+1)
ーズ
レ+」 (x)
-V
Hence a [zVJ, (x)] = -x JvH (x)
(Proved)
%3D
Transcribed Image Text:Why use the hypothesis of n=m-1 with a step-by-step explanation of the solution and a clear line, please = 0 Ohen m = 0 A5o, the term yresponding Since (m-1)! to m =o vanisnes Therepre Changimg tue variable of Summation to n=m -) 2n+1 Σ n=0 n!r(n+v+2) 2an+V+1 2n+ V+1 (-1)" x n=a n! P(n+l +v+1) 22n+V+1 8. - V * (-1n x2h+V+1 2n+V+1 3 r (n+1+v+1) ーズ レ+」 (x) -V Hence a [zVJ, (x)] = -x JvH (x) (Proved) %3D
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