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Problem 0.2 (centered at x = 0 unless specified): Subparts: = (1) f(x) (2) f(x) 1+x (3) f(x) 1 (1-a (4) f(x) 1 (1+x)³ (5) f(x) = e+e-x = = 1 4-x X = Find the Taylor series of the following functions (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

Problem 0.2 (centered at x = 0 unless specified): Subparts: = (1) f(x) (2) f(x) 1+x (3) f(x) 1 (1-a (4) f(x) 1 (1+x)³ (5) f(x) = e+e-x = = 1 4-x X = Find the Taylor series of the following functions (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

Advanced Engineering Mathematics
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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Problem 0.2 (centered at x = 0 unless specified): Subparts: = (1) f(x) (2) f(x) (3) f(x) 1 (1-x 1 (4) f(x) (1+x)³ (5) f(x) = ex +e¯x = = 1 4-x X = Find the Taylor series of the following functions 1+x (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:Problem 0.2 (centered at x = 0 unless specified): Subparts: = (1) f(x) (2) f(x) (3) f(x) 1 (1-x 1 (4) f(x) (1+x)³ (5) f(x) = ex +e¯x = = 1 4-x X = Find the Taylor series of the following functions 1+x (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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