Finding the Interval of Convergence In Exercise 15-38. find the Interval of convergence of the power series. (Be sure in include a check for convergence at the endpoints of the interval.) ∑ n = 1 ∞ ( x − 3 ) n − 1 ( x − 2 ) n 3 n − 1
Finding the Interval of Convergence In Exercise 15-38. find the Interval of convergence of the power series. (Be sure in include a check for convergence at the endpoints of the interval.) ∑ n = 1 ∞ ( x − 3 ) n − 1 ( x − 2 ) n 3 n − 1
Solution Summary: The author calculates the interval of convergence for the power series, (0,6).
Finding the Interval of Convergence In Exercise 15-38. find the Interval of convergence of the power series. (Be sure in 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
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.
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation.
If the answer is a finite set of values, enter your answers as a comma- separated list of values.)
n = 0
(-1)"ni(x - 9)"
50
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