If you plug in 0, you get , which is indeterminate. Now, take the derivative of the top and of the
bottom.
This limit also equals 1.
Example 3: Find .
Again, plugging in 0 is no help; you get . Take the derivative of the top and bottom.
Example 4: Find .
Take the derivative of the top and bottom.
Now if you take the limit, we still get . So do it again.
Now let’s try a couple of forms.
Example 5: Find .