Consider the alternating series a. Write out the first ten terms of the series, group them in
Question:
Consider the alternating series
a. Write out the first ten terms of the series, group them in pairs, and show that the even partial sums of the series form the (divergent) harmonic series.
b. Show that
c. Explain why the series diverges even though the terms of the series approach zero.
Transcribed Image Text:
4 if k is odd k + 1’ E(-1)*+'ak, where ap k=1 if k is even k' = 0. lim ak
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a The first ten terms are 1 5 Suppose that k 2i is even ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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