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

Question

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

Quizplus · Accepted Answer

The integral diverges because the integrand does not approach zero as x approaches infinity. This can be seen by considering the limit of the integrand as x approaches infinity, which is equal to 1/(x ln x) which does not approach zero as x goes to infinity. Therefore, the integral diverges by the Integral Test.

Evaluate the Improper Integral If It Converges, or State That