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Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x cos(9x)

Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x cos(9x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Important Maclaurin series and their radii of convergence. 1 x" = 1 +x + x² + x' + · . R = 1 - n=0 e* = 1+ 1! R = x п! 2! 3! 2n+1 sinx Σ-1)", R= ∞ + 7! = x - - (2п + 1)! 3! 5! n=0 x? 1 2! x* +.. 6! cos x R = ∞ (2n)! 4! n=0 2n+1 tan = x - 3 + 7 R = 1 X= | - 2n + 1 5 n=0 x2 In(1+x) = E(-1)"-1X" : R= 1 + 4 = x n 2 3 n=1 (1+x)* = E k x" = 1+ kx + k(k – 1) k(k – 1)(k – 2) 3! x + x' +.. R = 1 n 2! n=0 | + + +
Transcribed Image Text:Important Maclaurin series and their radii of convergence. 1 x" = 1 +x + x² + x' + · . R = 1 - n=0 e* = 1+ 1! R = x п! 2! 3! 2n+1 sinx Σ-1)", R= ∞ + 7! = x - - (2п + 1)! 3! 5! n=0 x? 1 2! x* +.. 6! cos x R = ∞ (2n)! 4! n=0 2n+1 tan = x - 3 + 7 R = 1 X= | - 2n + 1 5 n=0 x2 In(1+x) = E(-1)"-1X" : R= 1 + 4 = x n 2 3 n=1 (1+x)* = E k x" = 1+ kx + k(k – 1) k(k – 1)(k – 2) 3! x + x' +.. R = 1 n 2! n=0 | + + +
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. (x) = x cos(9x) 00 Σ n = 0
Transcribed Image Text:Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. (x) = x cos(9x) 00 Σ n = 0
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