(11) Let f be a continuous function, positive function defined on [1, 0) such that lim f(x) exists (i.e. the limit is finite) and | f(x)dr converges. (a) Does sin(f(r))dr necessarily converge or necessarily diverge? Prove your answer. (b) Does cos(f(r))dx necessarily converge or necessarily diverge? Prove your answer.

(11) Let f be a continuous function, positive function defined on [1, 0) such that lim f(x) exists (i.e. the limit is finite) and | f(x)dr converges. (a) Does sin(f(r))dr necessarily converge or necessarily diverge? Prove your answer. (b) Does cos(f(r))dx necessarily converge or necessarily diverge? Prove your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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