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x² sin æ+2x(2+cos a) cos 2 The derivative of f is f'(x) = graph of the function g defined by g(x) = x² sin x + 2x(2 + cos x) is shown above for 0 < x < 100. Let Let f be the function defined by f(x) = . The 00 (-1)*+'bn n+1 bn = f(n) for all integers n > 1. Which of the following statements about the series is true? n=1 (A) The series converges by the alternating series test. (B) The alternating series test cannot be used to determine convergence because the series is not alternating. (C) The alternating series test cannot be used to determine convergence because lim bn 7 0. (D) The alternating series test cannot be used to determine convergence because the terms bn are not decreasing.

x² sin æ+2x(2+cos a) cos 2 The derivative of f is f'(x) = graph of the function g defined by g(x) = x² sin x + 2x(2 + cos x) is shown above for 0 < x < 100. Let Let f be the function defined by f(x) = . The 00 (-1)*+'bn n+1 bn = f(n) for all integers n > 1. Which of the following statements about the series is true? n=1 (A) The series converges by the alternating series test. (B) The alternating series test cannot be used to determine convergence because the series is not alternating. (C) The alternating series test cannot be used to determine convergence because lim bn 7 0. (D) The alternating series test cannot be used to determine convergence because the terms bn are not decreasing.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. MA! 12n 20n 24x 28T 32п Graph of g 2+cos æ The derivative of f is f'(x) x2 sin x+2x(2+cos x) Let f be the function defined by f(x) graph of the function g defined by g(x) The x4 = x² sin x + 2x (2 + cos x) is shown above for 0 < x < 100. Let b, = f(n) for all integers n > 1. Which of the following statements about the series > (-1)"+'bn is true? n+1 n=1 (A) The series converges by the alternating series test. (B) The alternating series test cannot be used to determine convergence because the series is not alternating. (C) The alternating series test cannot be used to determine convergence because lim bn + 0. (D) The alternating series test cannot be used to determine convergence because the terms bn are not decreasing.
Transcribed Image Text:2. MA! 12n 20n 24x 28T 32п Graph of g 2+cos æ The derivative of f is f'(x) x2 sin x+2x(2+cos x) Let f be the function defined by f(x) graph of the function g defined by g(x) The x4 = x² sin x + 2x (2 + cos x) is shown above for 0 < x < 100. Let b, = f(n) for all integers n > 1. Which of the following statements about the series > (-1)"+'bn is true? n+1 n=1 (A) The series converges by the alternating series test. (B) The alternating series test cannot be used to determine convergence because the series is not alternating. (C) The alternating series test cannot be used to determine convergence because lim bn + 0. (D) The alternating series test cannot be used to determine convergence because the terms bn are not decreasing.
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