determine whether the series (1-1/n^(1/3))^n converge or diverge
all the testing procedure
The Attempt at a Solution
So I did the root test first, but the limit on the inside is 1. I then tried the ratio test but then when I tried taking the limit, I ended up with e^(-infinity+infinity). Finally, I tried the test for divergence on the original series, but i turned out be zero so it might or might not converge. Now I'm totally stuck.