Homework Help: calculus

Posted by John on Friday, January 20, 2012 at 12:27am.

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?

calculus - drwls, Friday, January 20, 2012 at 6:40am
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.

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