Where did the value inside the circle go? Can you explain step by step? (-)m 2m 2m m=0 2 m! [(m+V+1) (-1)m 2m -1 (2m) x %3D Σ 23m+V m! (m+v+ M=0 (-1)m 2mtV-1 (m-1)! ' (mtv+1) 2m - Σ ** m! = m (m-)! m=0 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Where did the value inside the
circle go? Can you explain step by step?
こ
m! [ (m+ V+1)
2m
m=0
2m -1
(2m) x
こ
Σ
22m+ V
m! P(m+v+1
M=0
(-1)m
2mtV-1
久
Σ
2m -1
** m! = m (m-)!
%3D
(m-1)! I (m+V+1)
Since (m-1)! = *
to m =0 vanisnes
Quen m=0 ASo, the term corresponding
Therepre Changimg the rariable of summation to n=m - )
(ーリn+」
nr(n+v+ 2) 2 an+V+1
Σ
2n +1
い=0
2n+ V+1
- V
(-1)"
n=a n! P(n+l +v+1) 2
2n+V+1
* (-1)h x?h+V +1
%3D
2n+V+1
r (n+l+v+1)
%3D
Ju+, (x)
Hence a [z'I, (×)] = -xJv (x)
(Proved)
ろ。
Transcribed Image Text:Where did the value inside the circle go? Can you explain step by step? こ m! [ (m+ V+1) 2m m=0 2m -1 (2m) x こ Σ 22m+ V m! P(m+v+1 M=0 (-1)m 2mtV-1 久 Σ 2m -1 ** m! = m (m-)! %3D (m-1)! I (m+V+1) Since (m-1)! = * to m =0 vanisnes Quen m=0 ASo, the term corresponding Therepre Changimg the rariable of summation to n=m - ) (ーリn+」 nr(n+v+ 2) 2 an+V+1 Σ 2n +1 い=0 2n+ V+1 - V (-1)" n=a n! P(n+l +v+1) 2 2n+V+1 * (-1)h x?h+V +1 %3D 2n+V+1 r (n+l+v+1) %3D Ju+, (x) Hence a [z'I, (×)] = -xJv (x) (Proved) ろ。
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