Answer
Diverges
Work Step by Step
Formula to calculate the sum of a geometric series is:
$S=\dfrac{a}{1-r}$;
As $n \to \infty$ then $s_n \to \infty$
Now, $\lim\limits_{n \to \infty} s_n=\lim\limits_{n \to \infty}(1-\dfrac{1}{n})^n=\infty \ne 0$
Also, $\lim\limits_{n \to \infty}(1+(-\dfrac{1}{n}))^n=e^{-1} \ne 0$
Hence, the series diverges.