limx->0 ((e^(4x)-1-4x)/(x^2)) using l'hopital's rule limit as x approaches 0 ((e^(4x)-1-4x)/(x^2) using l'hopital's rule?
limx->0 ((e^(4x)-1-4x)/(x^2)) using l'hopital's rule
1 Answer
Mar 27, 2018
Explanation:
Plugging in
Now, l'Hospital's Rule tells us if we have a limit in the form
Here, we see
Then,
So,
Another indeterminate form. Fortunately, the rule can be applied as many times as necessary, so long as you're getting indeterminate forms.
So, apply again by differentiating numerator and denominator: