Let's determine the correct radii of convergence for these series.(2x + 7)"Σ5hSeç.T-1(-1)"z4n+1Σ(2n + 1)!Seç.Seç.R = 1R = coR = 2/5R = 5/2

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Answered: Let's determine the correct radii of…

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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Q: For what a value of (x) does the power series converges? Find the series radius and interval of convergence? (x - 2)" n=1 5" n2 +n +=
1. use integration along with knowledge of geometric series to find the power series of arctan(2x/3)2. what values of x is the power series converging (interval of convergence)
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le) (b) 2E" 2" 12. Check the convergence of the following power series, find the radius and interval of conver- gence: ( a) Σ" (x+ n)" ( b) Σ Also find the sum as a function of x for this problem. 13. Find the Taylor series generated by ƒ at r = a and the Maclaurin series: (a) f(x) = 1/x², a = 1 (b) f(x) = xª + x² + 1, a = -2 14. Find the Taylor polynomials of order 1,2,3 for the function f at a: (a) f(x)= /T, a = 4 (b) f(r) = cos r, a = r /4 15. (a) Calculate e with an error of less than 10-º. (b) Estimate the error in the approximation sinh(x) = x + (r"/3!) when |r| < 0.5. (c) How close is the approximation sin(x) = r when |æ| < 10¬³? For which of these values of r is a< sin(x)? %3D
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please explain a little better, someone had already answer this question but the answers was wrong and the explanation wasn't good.
(x+7)" n=2 given the power series, solve for the 3/ 2 | radius and convergence interval.

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Let's determine the correct radii of convergence for these series. (2x + 7)" Σ 5h Seç. T-1 (-1)"z4n+1 Σ (2n + 1)! Seç. Seç. R = 1 R = co R = 2/5 R = 5/2