Asked by Ashley

what is the limit of g(theta)= tan(4theta)/4theta.
Answered by Reiny
One of the fundamental limits with trig expressions is

Lim tanx/x = 1 , as x---> 0

so notice that you have exactly that pattern, so

lim tan(4Ø)/(4Ø) =1 , assuming 4Ø ---> 0