# How do you prove the statement lim as x approaches 0 for #x^2 = 0# using the epsilon and delta definition?

##### 1 Answer

Oct 9, 2015

See the explanation, below.

#### Explanation:

You need to show that if we are given a positive number that we'll call

if

One way to do this is to notice that if

Choose

Another way is to observe that for

Whichever way is chosen, we then write up the proof:

**Proof**

Given

Now if

[insert a proof that