Which of the following series is Divergent ?

1
\(\sum \sin \frac{1}{n^2}\)
2
\(\sum e^{-n^2+n}\)
3
\(\sum_{n=2}^{\infty} \frac{1}{(\log n)^{5,00,000}}\)
4
\(\sum({\frac12})^n\)
5
Question Not Attempted

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