The Taylor series centred at 0 for arctan(x) is (-1)^x²n+1. 2n+1 n=0 What is the Taylor series centred at 0 for arctan(x)? X ∞ ΣΩ=1)"x2n+2 2n+1 n=0 00 0 (-1)^x2n 2n+1 n=0 ∞ n=0 ∞ n=0 (-1)^x2n 2n 1 2n+1 -x²n

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Taylor series centred at 0 for arctan(x) is (-12x²n+1
2n+1
n=0
What is the Taylor series centred at 0 for arctan(x) ?
X
∞
n=0
∞
0 (-1)^2x2n
2n+1
n=0
00
n=0
00
(-1)^2n+2
2n+1
n=0
(−1)″ x²n
2n
∞
1x2n
2n+1
Transcribed Image Text:The Taylor series centred at 0 for arctan(x) is (-12x²n+1 2n+1 n=0 What is the Taylor series centred at 0 for arctan(x) ? X ∞ n=0 ∞ 0 (-1)^2x2n 2n+1 n=0 00 n=0 00 (-1)^2n+2 2n+1 n=0 (−1)″ x²n 2n ∞ 1x2n 2n+1
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