Which of the following improper integral is not convergent?

1
\(\int_1^\infty \frac{1}{x^3}\) dx
2
\(\int_1^\infty \frac{1}{x^{3/2}}\) dx
3
\(\int_1^\infty \frac{1}{\sqrt{x}}\) dx
4
\(\int_1^\infty \frac{1}{x^2}\) dx

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