# limit of (e^x -1)/2x as x tends to 0?

##### 2 Answers

#### Explanation:

I'll assume you meant

Investigate the limit first by using direct substitution:

We get the indeterminate form

L'Hospital states:

If

Then,

In this example:

Now we can attempt to evaluate the limit:

We can say it is around

#### Explanation:

I am just trying to visualize what is going on here.

Let's graph the function

graph{(3^x-1)/(2x) [-10, 10, -5, 5]}

We can see that the function is continuous except at

We also can see that as