+∞ If f(x) = (x-2)¹" √n-1 O O O 1-2 n=2 V +00 Σ(-1) ¹(2-2)-1 n=2 √n-1 n(x-2) ¹√n-1 +00 -n(2-2)√√n-1 2 n(x-2)-1 √n-1 " which of the following power series is f' (x)?
+∞ If f(x) = (x-2)¹" √n-1 O O O 1-2 n=2 V +00 Σ(-1) ¹(2-2)-1 n=2 √n-1 n(x-2) ¹√n-1 +00 -n(2-2)√√n-1 2 n(x-2)-1 √n-1 " which of the following power series is f' (x)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:If f(x) =
O
Σ
7=2
O +00
O
+∞o
7-2
n=2
Σ(-1) (-2)"-1
n=2
√n-1
(x - 2)"
, which of the following power series is f' (x)?
n-1
7-2
-n(x-2)√n-1
2
Oton(x-2)√n-1
2
+00 n(x - 2)"-1
√n-1
W²
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