Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) ∑ n = 0 ∞ ( − 1 ) n x n n
Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) ∑ n = 0 ∞ ( − 1 ) n x n n
Solution Summary: The author calculates the interval of convergence of the power series, (-1,1).
Finding the Interval of Convergence In Exercises 15-38, find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)
power series: using the Ratio Test or the Root Test to determine the radius of convergence, and indicate the open interval of convergence.
Calculus 2 Question:
Follow up to my previous question:
Test the endpoints of the interval for convergence using the Alternating Series Test or the p-series test. Show your work, and justify your answer.
Interval of Convergenece: -1/2<x<1/2
(a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally.
nx"
n=0 11"
(a) The radius of convergence is.
(Simplify your answer.)
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