For an integer k, consider the contour integral \(I_k=\int_{|z|=1} \frac{e^z}{z^k} d z\). Which of the following statements are true?
1
Ik = 0 for every integer k.
2
Ik ≠ 0 if k ≥ 1.
3
|Ik| ≤ |Ik + 1| for every integer k.
4
\(\displaystyle \lim _{k \rightarrow \infty}\left|I_k\right|=\infty.\)