$\"\"$

The improper integral is $\"\"$ .

The integral is improper because the lower limit is $\"\"$ , which is undefined when plugged into the integral.

Rewrite the improper integral as the limit of the proper integral.

$\"\"$ denoates the limit as it approaches $\"\"$ from the greater side.

$\"\"$

$\"\"$ .

Therefore the limit does not exist.

$\"\"$

The improper integral $\"\"$ diverges.