Problem one remember that (n+1)! is (n+1)n! so that cancels out the other n!.
(N+1)^n+1 x n! = (n+1)^n+1/(n+1)..= [(n+1)/n]^n=e
(n+1)! x N^n
e is larger than 1 there for diverges
Hey guys, I have some infinite series problems I need my solutions checked to.
Problem 1. Use the ratio test to determine whether the series converges or diverges. Explain how the test permits you to draw your conclusion.
Since , the ratio test fails.
Here, I have trouble thinking my solution is right because the directions make no mention of the test failing. Is my solution correct?
For problems 2 and 3 determine whether the series converges absolutely, converges conditionally, or diverges. Explain how you drew your conclusion in each case.
I don't know how to do either of these problems, help please!
Thanks in advance for all help!