The function $fin$ the given figure satisfies $\underset{x4}{lim}f(x)=6.$ For each value $of,$ find all values

$of>0$ such that $|f(x)-6|<mi></mi>$ whenever

$(a)=1$

$(b)=\frac{1}{2}$

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

description.

$(a)$ When $=1,$ the values $of>0$ such that $|f(x)-6|<mi></mi>$ whenever satisfy

the inequality the variable. Simplify your answer.$=\frac{1}{2},$ the values $of>0$ such that $|f(x)-6|<mi></mi>$ whenever the variable. Simplify your answer.$>0,$ make a conjecture that the values $of>0$ such

that $|f(x)-6|<mi></mi>$ whenever and $as$ the variables. Simplify your answer.