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Sequences vs. seriesa. Find the limit of .b. Evaluate .

Chapter 1, Problem 43RE

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QUESTION:

Sequences vs. series

a. Find the limit of \(\left\{\left(-\frac{4}{5}\right)^{k}\right\}\).

b. Evaluate \(\sum_{k=0}^{\infty}\left(-\frac{4}{5}\right)^{k}\).

Questions & Answers

QUESTION:

Sequences vs. series

a. Find the limit of \(\left\{\left(-\frac{4}{5}\right)^{k}\right\}\).

b. Evaluate \(\sum_{k=0}^{\infty}\left(-\frac{4}{5}\right)^{k}\).

ANSWER:

Step 1 of 3

a)

A geometric sequence ,

 

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