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 = 1 ∞ ( − 1 ) n n ! ( x − 5 ) n 3 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 = 1 ∞ ( − 1 ) n n ! ( x − 5 ) n 3 n
Solution Summary: The author explains how the power series diverges for left|x-5right|mathrm>0 by ratio test and converges only at the point
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.)
Using the root test, the series E(-1)"(1-2)
n2
(A) The root test fails.
(B) Converges conditionally
(C) Diverges
(D) Converges absolutely
(E) None of the above.
A O
B O
.C
D O
E O
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
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