Determine whether the following statements are true and give an explanation or counterexample. a. The terms of

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Determine whether the following statements are true and give an explanation or counterexample.

a. The terms of the sequence {an} increase in magnitude, so the limit of the sequence does not exist.

b. The terms of the series ∑1/√k approach zero, so the series converges.

c. The terms of the sequence of partial sums of the series ∑ak approach 5/2 , so the infinite series converges to 5/2.

d. An alternating series that converges absolutely must converge conditionally.

e. The sequenceп? ап п? + 1 converges.

f. The sequence2 (-1)converges.

g. The seriesconverges.

h. The sequence of partial sums associated with the seriesconverges.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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