Evaluate the improper integral if it converges, or state that it diverges.
E) diverges

Name: Evaluate the improper integral if it converges, or state that it diverges. E) diverges
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Question

Evaluate the improper integral if it converges, or state that it diverges. ​ 
E) diverges

Quizplus · Accepted Answer

This integral is of the form $\int_{1}^{\infty} \frac{1}{x^{p}} dx$ for some $p$. This integral converges if and only if $p>1$. However, in this case, $p=0$ which means the integral diverges. Therefore, the answer is E) diverges.

Evaluate the Improper Integral If It Converges, or State That