For the given function f(x) and numbers L, c, and ϵ>0, find an open interval about c on which the inequality |f(x−L|<ϵ holds. Then give a value for δ >0 such that for all x satisfying 0<|x−c|<δ the inequality |f(x)−L|<ϵ holds. f(x)=mx+b, m>0,L=m2+b, c=12,ϵ=k>0.For what open interval does the inequality |f(x)−L|>ϵ hold? (type your answer in interval notation.)
Find the largest value δ>0 such that for all x satisfying 0<|x−c|<δ the inequality |f(x)−L|<ϵ holds.
δ =