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Use the table of frequently used Taylor series to find the sum of the series. 1- 22 · 2! + 4 2° • 6! + ... 2* • 4! Click the icon to view the table of frequently used Taylor series. 4 1- 22 · 2! + + 2 • 4! 6 2° • 6! (Type an exact answer, using radicals as needed.)

Use the table of frequently used Taylor series to find the sum of the series. 1- 22 · 2! + 4 2° • 6! + ... 2* • 4! Click the icon to view the table of frequently used Taylor series. 4 1- 22 · 2! + + 2 • 4! 6 2° • 6! (Type an exact answer, using radicals as needed.)

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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1 = 1+x+x + ... + E x", |x| < 1 +... = 1-X n= 0 1 = 1-x+x? - ... + (-x)" + ... = E (-1)^x", \x|<1 %3D 1+X n= 0 ex = 1+x+ |x| <∞ + + %D n! n= 0 x* x° x2n + 1 (- 1)"x2n Σ (2n + 1)! 00 + 1 sin x = X- 3! +(- 1)^, (2n + 1)! |x| < 5! +... = <00 n = 0 4 x2n +(- 1)", (2n)! (- 1)"x2n Σ (2n)! COS X = 1 + |x| < c0 - + ... = ... 4! %3: n = 0 x? x *(~1)n-1 x" Σ (- 1)"-1x" In (1 + x) = x- + - ... t +... = - 1<x<1 2 3 n n n= 1 3 + 1 (- 1)"x2n + 1 - 1 tan'x = x- Σ + |x| 51 +.... = -... 3 2n + 1 2n + 1 n = 0
Transcribed Image Text:1 = 1+x+x + ... + E x", |x| < 1 +... = 1-X n= 0 1 = 1-x+x? - ... + (-x)" + ... = E (-1)^x", \x|<1 %3D 1+X n= 0 ex = 1+x+ |x| <∞ + + %D n! n= 0 x* x° x2n + 1 (- 1)"x2n Σ (2n + 1)! 00 + 1 sin x = X- 3! +(- 1)^, (2n + 1)! |x| < 5! +... = <00 n = 0 4 x2n +(- 1)", (2n)! (- 1)"x2n Σ (2n)! COS X = 1 + |x| < c0 - + ... = ... 4! %3: n = 0 x? x *(~1)n-1 x" Σ (- 1)"-1x" In (1 + x) = x- + - ... t +... = - 1<x<1 2 3 n n n= 1 3 + 1 (- 1)"x2n + 1 - 1 tan'x = x- Σ + |x| 51 +.... = -... 3 2n + 1 2n + 1 n = 0
Use the table of frequently used Taylor series to find the sum of the series. 1- 22 · 2! + 4 2° • 6! + ... 2* • 4! Click the icon to view the table of frequently used Taylor series. 4 1- 22 . 21 24 . 4! 26 • 6! + + · 2! 2° • 6! (Type an exact answer, using radicals as needed.)
Transcribed Image Text:Use the table of frequently used Taylor series to find the sum of the series. 1- 22 · 2! + 4 2° • 6! + ... 2* • 4! Click the icon to view the table of frequently used Taylor series. 4 1- 22 . 21 24 . 4! 26 • 6! + + · 2! 2° • 6! (Type an exact answer, using radicals as needed.)
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