Calculus Question

Question

Evaluate the following limit:

 

lim of sin(4theta)/(5theta) as theta approaches 0.

 

Help!?

Answer 1

Since this is an indeterminate form, you can use L'Hopital's rule.  Are you familiar with it?

 

lim θ→0 of (sin4θ / 5θ) = lim θ→0 of (4cos4θ / 5) = 4/5