Question 10 Find the antiderivative F of the following power series given that F(10) = 0: %3D Σ (-1)*(x – 10)* kk k=1 * (-1)*(x – 10)*-1 (k – 1) kk OF = k=1 (-1)*(x – 10)* b) OF = > k=1 kk+1 (-1)*(x – 10)*+1 kkk OF = k=1 (-1)*(x – 10)*+! (k + 1) 00 d) OF = S k=1 e) OF = 5 (-1)*x – 10)*+1 k* (k + 1) %3D k=1
Question 10 Find the antiderivative F of the following power series given that F(10) = 0: %3D Σ (-1)*(x – 10)* kk k=1 * (-1)*(x – 10)*-1 (k – 1) kk OF = k=1 (-1)*(x – 10)* b) OF = > k=1 kk+1 (-1)*(x – 10)*+1 kkk OF = k=1 (-1)*(x – 10)*+! (k + 1) 00 d) OF = S k=1 e) OF = 5 (-1)*x – 10)*+1 k* (k + 1) %3D k=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 10
Find the antiderivative F of the following power series given that F(10) = 0:
(-1)*(x – 10)*
kk
00
k=1
(-1)*(x – 10)*-1 (k – 1)
00
a) OF = >
kk
k=1
(-1)*(x – 10)*
00
b) OF = )
kk+1
k=1
* (-1)*(x – 10)*+1
с) OF
k*k
k=1
(-1)*(x – 10)*+1 (k + 1)
d) OF = >
kk
k=1
* (-1)*(x – 10)*+1
k* (k + 1)
00
e) OF = E
k=1
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