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## Homework Statement

integral from 2 to infinty 1/(x-sqrt(x))

## The Attempt at a Solution

my teacher wants us to compare it to another function in the form 1/x^p

and not integrate it so

would i compare it to 1/x and then do the limit comparison test

limit as x approaches infinity

i came out with a finite number and since 1/x divegres therefore 1/(x-sqrt(x)) diverges

is this correct.