For the given function $f(x)$ and values of $L,c,$ and $>0$ find the largest open interval about c on which the inequality $|f(x)-L|<mi></mi>$ holds. Then determine the largest value for $>0$ such that for all $x$ satisfying the inequality $|f(x)-L|<mi></mi>$ holds.

$f(x)=2x+5,L=17,c=6,=0\mathrm{.}04$