PROOF 39

Prove.

The ε-δ definition of the limit

On the real numbers ℝ.

Definition D1

lim(x→c) f(x) = L means the following. For every ε > 0 there is a δ > 0 such that |f(x) − L| < ε for every x with 0 < |x − c| < δ.

Proof.

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