# Math Help - Theorem in limits

1. ## Theorem in limits

Challenge problem:

Let f be a function :

Prove that:

If, a, is not an accumulation point of A,then there exists an mεR,such that for all ε>0 there exists a δ>0 such that :

for all ,x: and $0<|x-a|<\delta\Longrightarrow |f(x)-m|<\epsilon$

Moderator edit: Approved Challenge question.