# How do you use the epsilon delta definition of limit to prove that #lim_(x->1)(x+2)= 3# ?

##### 1 Answer

Sep 24, 2014

Before writing a proof, I would do some scratch work in order to find the expression for

According to the epsilon delta definition, we want to say:

For all

Start with the conclusion.

So, it seems that we can set

(Note: The above observation is just for finding the expression for

Here is the actual proof:

**Proof**

For all