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If a series of positive terms converges, does it follow that the remainder R,, must decrease to zero as n-co? Explain. Choose the correct answer below. OA. R, must decrease to zero because lim R, lim n-00 71-400 f(x)dx for all positive functions x 00 OB. R, must decrease to zero because lim R, lim a n-+00 n+00 K=1 OC. R, does not decrease to zero because R, is positive for a series with positive terms. OD. R, does not decrease to zero because convergent series do not have remainders. -0.

If a series of positive terms converges, does it follow that the remainder R,, must decrease to zero as n-co? Explain. Choose the correct answer below. OA. R, must decrease to zero because lim R, lim n-00 71-400 f(x)dx for all positive functions x 00 OB. R, must decrease to zero because lim R, lim a n-+00 n+00 K=1 OC. R, does not decrease to zero because R, is positive for a series with positive terms. OD. R, does not decrease to zero because convergent series do not have remainders. -0.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If a series of positive terms converges, does it follow that the remainder R,, must decrease to zero as n-co? Explain. Choose the correct answer below. OA. R, must decrease to zero because lim R, lim f(x)dx for all positive functions x. n-00 71-400 00 lima, n+00 K=1 OC. R, does not decrease to zero because R, is positive for a series with positive terms. OD. R, does not decrease to zero because convergent series do not have remainders. OB. R, must decrease to zero because lim R, n-+00 -0.
Transcribed Image Text:If a series of positive terms converges, does it follow that the remainder R,, must decrease to zero as n-co? Explain. Choose the correct answer below. OA. R, must decrease to zero because lim R, lim f(x)dx for all positive functions x. n-00 71-400 00 lima, n+00 K=1 OC. R, does not decrease to zero because R, is positive for a series with positive terms. OD. R, does not decrease to zero because convergent series do not have remainders. OB. R, must decrease to zero because lim R, n-+00 -0.
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