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Sequences vs. seriesa. Find the limit of .b. Evaluate .
Chapter 1, Problem 43RE(choose chapter or problem)
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 ,