4. a) Find an infinite series representation for 6 dx. Include at least the first four 1+x3 nonzero terms. b) Compute the second order Taylor polynomial at x = 2 of ƒ (x) = 4(6+ x). c) [ Determine whether the following series converges or diverges: E=3 _n ln(nª) Determine whether the following series converges or diverges, and if it converges 2n+2 compute the sum: 2=2 10en-2
4. a) Find an infinite series representation for 6 dx. Include at least the first four 1+x3 nonzero terms. b) Compute the second order Taylor polynomial at x = 2 of ƒ (x) = 4(6+ x). c) [ Determine whether the following series converges or diverges: E=3 _n ln(nª) Determine whether the following series converges or diverges, and if it converges 2n+2 compute the sum: 2=2 10en-2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 74E
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