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(a) Use the fact that dtan to find a Taylor series for tan-1 x. dx (b) Using the Taylor series you derive in part (a), obtain Leibniz's formula: -1 = ㅠ 4 = 1 1 1 + 3 5 1 7 +...

(a) Use the fact that dtan to find a Taylor series for tan-1 x. dx (b) Using the Taylor series you derive in part (a), obtain Leibniz's formula: -1 = ㅠ 4 = 1 1 1 + 3 5 1 7 +...

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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please do both part a and b

(a) Use the fact that d tan-¹₁ dx = 1+2 to find a Taylor series for tan-¹x. 1+x² (b) Using the Taylor series you derive in part (a), obtain Leibniz's formula: ㅠ 4 = 1 1 1 + 3 5 - 1 7 +...
Transcribed Image Text:(a) Use the fact that d tan-¹₁ dx = 1+2 to find a Taylor series for tan-¹x. 1+x² (b) Using the Taylor series you derive in part (a), obtain Leibniz's formula: ㅠ 4 = 1 1 1 + 3 5 - 1 7 +...
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