Recent content by myname1234

sorry, but i am not looking whether the series is converging or not. I know it converges. Also your condition number 2 is not necessary for an alternating series to converge. I am interested in proving that the total sum is positive.

I was trying to prove the following but couldn't succeed. Is there a systematic methods to prove that the following infinite sum is positive? (alternating series) sum from n = 0 to ∞ of ((-1)^{n}* x^{n+z}) / (n+z)! conditions x≥0 and z≥1 note: when x≤1, we can directly see that s_{n}-...