Prove statement lim(x->a) X = a using ε,δ?

Question

Prove statement lim(x->a) x = a using ε,δ(delta) definition of limit

I figured out other questions, but this one looks simple, i dont know what to do. ahk! help me!!!

Answer 1

By the precise definition of a limit, this is what we want to prove:

For E > 0, there exists S > 0 such that whenever |x - a| < S,
|x - a| < E.

This is simple; just choose S = E. That means, whenever

|x - a| < S, since S = E, then
|x - a| < E.

Answer 2

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Answer 3

$16 and a Coke?