Question

Find the limits
Lim(sin kt/t) t approaches 0 and (K is constant)
How do you start this and go about it stepwise?
Does knowing (K constant) help me to solve this?

Answer 1

You can do this in one step.

As t -> 0, sinkt -> kt, so
Lim (sinkt)/t = kt/t = k
t->0

You could also use l'Hopital's rule and get the same answer.