The function $f$ in the given figure satisfies $\underset{x3}{lim}f(x)=3.$ For each value of $,$ find all values of $>0$ such that $|f(x)-3|<mi></mi>$ whenever

$($a$)=2$

$($b$)=1$

$($c$)$ For any $,$ make a conjecture about the corresponding value of $$ satisfying the above description.

$($a$)$ When $=2,$ the values of $>0$ such that $|f(x)-3|<mi></mi>$ whenever satisfy the inequality

$($Type an inequality using $$ as the variable. Simplify your answer.$)$

The function $f$ in the given figure satisfies $\underset{x3}{lim}f(x)=3.$ For each value of $,$ find all values of $>0$ such that $|f(x)-3|<mi></mi>$ whenever

$($a$)=2$

$($b$)=1$

$($c$)$ For any $,$ make a conjecture about the corresponding value of $$ satisfying the above description.

$($a$)$ When $=2,$ the values of $>0$ such that $|f(x)-3|<mi></mi>$ whenever satisfy the inequality

$($Type an inequality using $$ as the variable. Simplify your answer.$)$