limx⟶cf(x)=Llimx⟶cf(x)=L means: For all ϵ>0ϵ>0 there is a δ>0δ>0 such that for all xx satisfying 0<|x−c|<δ0<|x−c|<δ we have that |f(x)−L|<ϵ|f(x)−L|<ϵ. What if the limit does not equal LL? Think about what the means in ϵ,δϵ,δ language. Consider the following phrases: 1. ϵ>0ϵ>0

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