For the given function $f(x)$ and the given values of $c$ and $>0,$ find $L=\underset{xc}{lim}f(x)$

Then determine the largest value for $>0$ such that $|f(x)-L|<mi></mi>$ whenever

$f(x)=\frac{x^2-49}{x-7},c=7,=0\mathrm{.}07$