(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the limit as x tends to 3 of [sqrt(2x+3)-x] / (x-3)

2. Relevant equations

3. The attempt at a solution

This is from an old Protter textbook I am working through. I started with the difference of squares which results in

[2x + 3 - x^2]/ [(x-3)*sqrt(2x+3)+x]

but now I'm stuck. I can't seem to factor (x-3) out of the numerator.

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# Homework Help: Limits and difference of squares help

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