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## Homework Statement

determine whether the series (1-1/n^(1/3))^n converge or diverge

## Homework Equations

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.