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Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function, f(x) = eSx + 7e-8x Σ n = 0 x" = 1 +x + x² + x' + • .. R=1 1- x x² = 1 + 1! e = R = 0 n-o n! 2! 3! x 2n+1 x' x7 +... 7! sin x = R = 00 (2n + 1)! 3! 5! (-1)" (2n)! x² = 1- 2! cos x = R = 00 4! 6! tan-'x = +... R= 1 2n + 1 3 (1 + x)* = E* k x" 1 + kr + k(k-1)2 + k(k - 1)(k - 2) R 1 2! 3!

Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function, f(x) = eSx + 7e-8x Σ n = 0 x" = 1 +x + x² + x' + • .. R=1 1- x x² = 1 + 1! e = R = 0 n-o n! 2! 3! x 2n+1 x' x7 +... 7! sin x = R = 00 (2n + 1)! 3! 5! (-1)" (2n)! x² = 1- 2! cos x = R = 00 4! 6! tan-'x = +... R= 1 2n + 1 3 (1 + x)* = E* k x" 1 + kr + k(k-1)2 + k(k - 1)(k - 2) R 1 2! 3!

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = eSx + 7e-8x Σ n = 0 x" = 1 +x + x² + x' + • .. R=1 1- x x2 = 1 + 1! e = R = 0 -o n! 2! 3! x 2n+1 00 x' sin x = +... 7! R = 00 (2n + 1)! 3! 5! (-1)" (2n)! x² =1- 2! cos X = R= 00 4! 6! tan 'x= (-1)" + .. R 1 2n + 1 3 (1 + x)* - E* k x" 1 + kx + k(k-1) + k(k - 1)(k - 2) R-1 2! 3!
Transcribed Image Text:Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function. f(x) = eSx + 7e-8x Σ n = 0 x" = 1 +x + x² + x' + • .. R=1 1- x x2 = 1 + 1! e = R = 0 -o n! 2! 3! x 2n+1 00 x' sin x = +... 7! R = 00 (2n + 1)! 3! 5! (-1)" (2n)! x² =1- 2! cos X = R= 00 4! 6! tan 'x= (-1)" + .. R 1 2n + 1 3 (1 + x)* - E* k x" 1 + kx + k(k-1) + k(k - 1)(k - 2) R-1 2! 3!
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