Math 3112 Worksheet # 2
L'Hôpital's Rule



Find the following limits:

1.
$\displaystyle \lim_{x\to 0}\frac{\sin 2x}{e^{3x}-1} $
2.
$\displaystyle \lim_{u\to 0}\frac{e^u-1}{u^2+5u} $
3.
$\displaystyle \lim_{t\to 1}\frac{\ln t}{1-t} $
4.
$\displaystyle \lim_{t\to 0}\frac{\ln(\cos t)}{\sin^2 t} $
5.
$\displaystyle \lim_{u\to 0} \frac{\sin (u^2)}{\cos^2 u -1} $
6.
$\displaystyle \lim_{t\to 0}{\frac{\sin (t^2)-t^2}{e^{t^3}-1-t^3}} $



Helmut Knaust
1998-11-04