Evaluating an Improper Integral In Exercises 13-16, explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges.
If the integral is improper, will the integral converge and determine the value of the integral.
The given diagram is:
To check if the function is improper, and determine the point of infinite discontinuity.
For this consider and find :
The point of discontinuity lies between upper limit and lower limit.
∴, it is concluded that given function is not continuous on interval .
Hence, given integral is improper.
Now, known fact is that, an improper integral converges when the limit of the integral exists.
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