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