1. The problem statement, all variables and given/known data determine whether the series (1-1/n^(1/3))^n converge or diverge 2. Relevant equations all the testing procedure 3. 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.