# Calculus

posted by .

Calculate the interval of convergence.
Sigma from n=1 to infinity of (n!*x^n)/n^n.

• Calculus -

try using the ratio test. You should be able to show that the series converges for |x| < e

• Calculus -

I tried and I got
|x|lim n-infinity of |(n/n+1)^n|
which I get |x|<1

## Similar Questions

1. ### CALC

please help me...for the power series summation of n^4x^n/2(n-1)factorial....find the radius and interval of convergence... so far i am guessing that radius is equal to x and interval of convergence is (-infinty to positive infinity) …
2. ### calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to …
3. ### calculus - interval of convergence

infinity of the summation n=0: ((n+2)/(10^n))*((x-5)^n) .. my work so far. i used the ratio test = lim (n-->infinity) | [((n+3)/(10^(n+1)))*((x-5)^(n+1))] / [((n+2)/(10^n))*((x-5)^n)] | .. now my question is: was it ok for me to …
4. ### Calculus 2

Find the radius of convergence and interval of convergence of the series. n=2 series to infinity (-1)^n * x^n+6/n+7 R= ?
5. ### Calculus

What is the radius of convergence of the power series (((2n)!x^(n))/((2n-1)!)), and what is its interval of convergence?
6. ### CALC 2

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence. a. Summation …
7. ### CALC 2 pls help!!

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence. a. Summation …
8. ### Calculus 2

In the following series x is a real number. In each case, use the ratio test to determine the radius of convergence of the series. Analyze the behavior at the endpoints in order to determine the interval of convergence. a. Summation …
9. ### Calculus 2

Find the radius of convergence and interval of convergence of the series. There is an infinity sign on top of the summation symbol and "n=1" underneath it. To the right of the summation symbol is x^n/5n! How would you find the radius …
10. ### Calculus

Calculate the interval of convergence. Sigma from n=1 to infinity of (n!*x^n)/n^n. Calculus - Steve, Friday, July 29, 2016 at 11:52pm try using the ratio test. You should be able to show that the series converges for |x| < e I tried …

More Similar Questions