# How do you use the epsilon delta definition to find the limit of #(2+4x)/3# as x approaches #1#?

##### 1 Answer

First, a slightly technical point - you can't really *find* a limit using the *prove* that it is the limit!

#### Explanation:

It seems obvious that

Let us prove that 2, indeed, is the limit.

Recall that the

A number

Shorn of the Greek, this means that we can keep

For the current problem

so

So, for any given positive

Then,

Hence such a *is* the limit!