Question

Calculate the following limits.
$\underset{x\to 7}{lim}\frac{2-\sqrt{x-3}}{x^2-49}.$

Answer 1

using the L-hopitals rule

we have to differentiate the expression and after that we got

$\underset{x\to 7}{lim}\frac{-\frac{1}{2\sqrt{x-3}}}{2x}$

and put the limits in got expression we got our answer that is

$=-\frac{1}{56}$