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Interval and radius of convergence Determine
Chapter 8, Problem 14E(choose chapter or problem)
QUESTION:
Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.
\(\sum \frac{k^{k} x^{k}}{(k+1) !}\)
Questions & Answers
QUESTION:
Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.
\(\sum \frac{k^{k} x^{k}}{(k+1) !}\)
ANSWER:Solution 14EStep 1:In this problem we have to determine the radius of convergence of the power series.Use Ratio test to determine the radius of convergence.If and1. If L <1, converges.2. If L >1, diverges.3. If L=1, the test is inconclusive.