# How do you use the epsilon-delta definition of continuity to prove #f(x) = x^2# is continuous?

##### 1 Answer

Dec 15, 2016

For any

#### Explanation:

By definition,

Now, for

#|x-barx|< delta# ,

#|x|<|barx|+delta#

and then:

So, for any

The condition of continuity is satisfied.