Determine whether the improper integral diverges or converges.Evaluate the integral if it converges.
A)3
B)1
C)2
E)diverges

Name: Determine whether the improper integral diverges or converges.Evaluate the integral if it converges. A)3 B)1 C)2 E)diverges
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Question

Determine whether the improper integral  diverges or converges.Evaluate the integral if it converges. ​
A)3 
B)1 
C)2 
E)diverges

Quizplus · Accepted Answer

The integral does not converge since the exponential function grows faster than any power function and as x goes to infinity the denominator goes to infinity. Therefore, the integral diverges.

Determine Whether the Improper Integral Diverges or Converges