Each of the series in Exercises 55–60 is the value of the Taylor series at x = 0 of a function f(x) at a particular point. What function and what point? What is the sum of the series? (-1)" 55. 1 16 2 2" + (-1)"-1 n3" 56. 18 81 72n+1 (2n + 1)! 57. п + (-1)". +... 3! 5! 72n + (-1)": 32m(2n)! 58. 1 9. 2! 81·4! (In 2)2 (In 2)" 59. 1 + In 2 + 2! n! 60. V3 9V3 45V3 + (-1)"-1. (2n – 1)(V3)2-

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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Each of the series in Exercises 55–60 is the value of the Taylor series at
x = 0 of a function f(x) at a particular point. What function and what
point? What is the sum of the series?
(-1)"
55. 1
16
2
2"
+ (-1)"-1
n3"
56.
18
81
72n+1
(2n + 1)!
57. п
+ (-1)".
+...
3!
5!
72n
+ (-1)":
32m(2n)!
58. 1
9. 2!
81·4!
(In 2)2
(In 2)"
59. 1 + In 2 +
2!
n!
60.
V3
9V3
45V3
+ (-1)"-1.
(2n – 1)(V3)2-
Transcribed Image Text:Each of the series in Exercises 55–60 is the value of the Taylor series at x = 0 of a function f(x) at a particular point. What function and what point? What is the sum of the series? (-1)" 55. 1 16 2 2" + (-1)"-1 n3" 56. 18 81 72n+1 (2n + 1)! 57. п + (-1)". +... 3! 5! 72n + (-1)": 32m(2n)! 58. 1 9. 2! 81·4! (In 2)2 (In 2)" 59. 1 + In 2 + 2! n! 60. V3 9V3 45V3 + (-1)"-1. (2n – 1)(V3)2-
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