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Which statement below is FALSE? O If a series converges absolutely, then it converges. If an improper integral converges to a number L, then the associated infinite series converges to the same number L. If a series converges, then the limit of the nth term approaches zero.

Which statement below is FALSE? O If a series converges absolutely, then it converges. If an improper integral converges to a number L, then the associated infinite series converges to the same number L. If a series converges, then the limit of the nth term approaches zero.

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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I need help with these two questions please
Which statement below is FALSE? If a series converges absolutely, then it converges. If an improper integral converges to a number L, then the associated infinite series converges to the same number L. O If a series converges, then the limit of the nth term approaches zero. 100 O If 2-1 an converges to L, then the series En=1 can converges to cL. (c is a constant)
Transcribed Image Text:Which statement below is FALSE? If a series converges absolutely, then it converges. If an improper integral converges to a number L, then the associated infinite series converges to the same number L. O If a series converges, then the limit of the nth term approaches zero. 100 O If 2-1 an converges to L, then the series En=1 can converges to cL. (c is a constant)
Use the Integral Test to determine whether the series is convergent or divergent. n-6 n = 1 Evaluate the following integral. x-6dx Give the value of the integral, then say if it the series is convergent or divergent O-1/5, Divergent Infinity, Divergent O 1/5, Convergent
Transcribed Image Text:Use the Integral Test to determine whether the series is convergent or divergent. n-6 n = 1 Evaluate the following integral. x-6dx Give the value of the integral, then say if it the series is convergent or divergent O-1/5, Divergent Infinity, Divergent O 1/5, Convergent
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