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Let f be a positive, continuous, and decreasing function for x 2 1, such that an f(n). Note that if the series, 00 an n = 1 converges to S, then the remainder RN = S – SN is bounded by O S RN S f(x) dx. Use these results to approximate the sum of the convergent series using the indicated number of terms. (Round your answer to four decimal places.) 00 Σ E six terms n5 n = 1 R6 S Include an estimate of the maximum error for your approximation.

Let f be a positive, continuous, and decreasing function for x 2 1, such that an f(n). Note that if the series, 00 an n = 1 converges to S, then the remainder RN = S – SN is bounded by O S RN S f(x) dx. Use these results to approximate the sum of the convergent series using the indicated number of terms. (Round your answer to four decimal places.) 00 Σ E six terms n5 n = 1 R6 S Include an estimate of the maximum error for your approximation.

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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Let f be a positive, continuous, and decreasing function for x 2 1, such that an f(n). Note that if the series, 00 an n = 1 converges to S, then the remainder RN = S – SN is bounded by O S RN S f(x) dx. Use these results to approximate the sum of the convergent series using the indicated number of terms. (Round your answer to four decimal places.) 00 Σ E six terms n5 n = 1 R6 S Include an estimate of the maximum error for your approximation.
Transcribed Image Text:Let f be a positive, continuous, and decreasing function for x 2 1, such that an f(n). Note that if the series, 00 an n = 1 converges to S, then the remainder RN = S – SN is bounded by O S RN S f(x) dx. Use these results to approximate the sum of the convergent series using the indicated number of terms. (Round your answer to four decimal places.) 00 Σ E six terms n5 n = 1 R6 S Include an estimate of the maximum error for your approximation.
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