Problem 0.2 (centered at x = 0 unless specified): Find the Taylor series of the following functions (6) f(x) = x COS X 3 (7) f(x) In(1 n2 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I’m not sure how to do subparts 6, 7, and 8
Find the Taylor series of the following functions
Problem 0.2
(centered at x = 0 unless specified):
(6) f(x) = x³ cos x
(7) f(x) = ln(1 + x²)
(8) f(x) = tan¯¹(x³)
(9) f(x) = ln x centered at x = = 1
(10) f(x) = x5 - 3x + 17
Transcribed Image Text:Find the Taylor series of the following functions Problem 0.2 (centered at x = 0 unless specified): (6) f(x) = x³ cos x (7) f(x) = ln(1 + x²) (8) f(x) = tan¯¹(x³) (9) f(x) = ln x centered at x = = 1 (10) f(x) = x5 - 3x + 17
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