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.)20. ∑ n = 0 ∞ ( 3 x ) n ( 2 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.)20. ∑ n = 0 ∞ ( 3 x ) n ( 2 n ) !
Solution Summary: The author explains how the interval of convergence of the power series is (-infty,
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.)20.
∑
n
=
0
∞
(
3
x
)
n
(
2
n
)
!
Real Analysis
I must determine if the two series below are divergent, conditionally convergent or absolutely convergent. Further I must prove this. In other words, if I use one of the tests, like the comparison test, I must fully explain why this applies.
a) 1-(1/1!)+(1/2!)-(1/3!) + . . .
b) (1/2) -(2/3) +(3/4) -(4/5) + . . .
Thank you.
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
(The Comparison Test)
Determine if the series is convergent or divergent. Give your reason.
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