Find the Taylor series for f(x) = 2xe-3x :4 and its interval of convergence. at x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What is the taylor series and confidence of interval for f(x)=2xe^(-3x) at x=4

-3x
Find the Taylor series for f(x) = 2xe¬5x at x = 4 and its interval of convergence.
%3|
Select the correct answer below:
00
Σ
,-12
e
(8(-3)" – 2n(-3)"-1) (x – 4)", (-∞, 0)
n!
n=0
00
Ee-12 (8(-3)" + 2n(-3)"-l) (x – 4)", (-∞o, c∞)
n!
n=0
00
Ete-12n(-3)"-'(x – 4)", (-0∞0, o0)
n=0
-e-1²8n(-3)"(x – 4)", (-∞, ∞)
(n!
n=0
Transcribed Image Text:-3x Find the Taylor series for f(x) = 2xe¬5x at x = 4 and its interval of convergence. %3| Select the correct answer below: 00 Σ ,-12 e (8(-3)" – 2n(-3)"-1) (x – 4)", (-∞, 0) n! n=0 00 Ee-12 (8(-3)" + 2n(-3)"-l) (x – 4)", (-∞o, c∞) n! n=0 00 Ete-12n(-3)"-'(x – 4)", (-0∞0, o0) n=0 -e-1²8n(-3)"(x – 4)", (-∞, ∞) (n! n=0
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