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Solved: Sequences vs. seriesa. Find the limit of .b.
Chapter 1, Problem 44RE(choose chapter or problem)
QUESTION:
Sequences vs. series
a. Find the limit of \(\left\{\frac{1}{k}-\frac{1}{k+1}\right\}\).
b. Evaluate \(\sum_{k=1}^{\infty}\left(\frac{1}{k}-\frac{1}{k+1}\right)\).
Questions & Answers
QUESTION:
Sequences vs. series
a. Find the limit of \(\left\{\frac{1}{k}-\frac{1}{k+1}\right\}\).
b. Evaluate \(\sum_{k=1}^{\infty}\left(\frac{1}{k}-\frac{1}{k+1}\right)\).
ANSWER:Step 1 of 3
a)