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Solved: The Root Test Use the Root Test to determine
Chapter 12, Problem 25E(choose chapter or problem)
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(1+\left(\frac{1}{2}\right)^{2}+\left(\frac{1}{3}\right)^{3}+\left(\frac{1}{4}\right)^{4}+\cdots\)
Questions & Answers
QUESTION:
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(1+\left(\frac{1}{2}\right)^{2}+\left(\frac{1}{3}\right)^{3}+\left(\frac{1}{4}\right)^{4}+\cdots\)
ANSWER:Problem 25EThe Root Test Use the Root Test to determine whether the following series converge. SolutionStep 1In this problem we have to determine whether the series converge or not by using root test.Root test: Let be a series of positive terms and let 1. If then the series converges.2. If then the series diverges.3. If then the root test is inconclusive.