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82. If f(x) = (1 + x')30, what is f (58 (0)?

82. If f(x) = (1 + x')30, what is f (58 (0)?

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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81. Show that if p is an nth-degree polynomial, then p®(x) p(x + 1) = E i! i=0 82. If f(x) = (1 + x')30, what is f(58) (0)? 2, that is, prove 83. Prove Taylor's Inequality for n | f"(x)|< M for |x- a < d, then | R:(x) | < |x - a| M X. 6. for |x - a|< 84. (a) Show that the function defined by -1/x2 f(x) = if x = 0 is not equal to its Maclaurin series. (b) Graph the function in part (a) and comment ior near the origin. 85. Use the following steps to prove (17). (a) Let g(x) = )x". Differentiate this se that kg(x)
Transcribed Image Text:81. Show that if p is an nth-degree polynomial, then p®(x) p(x + 1) = E i! i=0 82. If f(x) = (1 + x')30, what is f(58) (0)? 2, that is, prove 83. Prove Taylor's Inequality for n | f"(x)|< M for |x- a < d, then | R:(x) | < |x - a| M X. 6. for |x - a|< 84. (a) Show that the function defined by -1/x2 f(x) = if x = 0 is not equal to its Maclaurin series. (b) Graph the function in part (a) and comment ior near the origin. 85. Use the following steps to prove (17). (a) Let g(x) = )x". Differentiate this se that kg(x)
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