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A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.

A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.

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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A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.
Transcribed Image Text:A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.
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