Is Induction Proof Needed for this Limit Problem?

[Alex13S]

Prove that for fixed s > 0, we have

lim e^-sN ( s sin bN + b cos bN ) = 0
N ->

This problem was in a chapter on Laplace Transforms. I'm assuming this will require proof by induction.

 

[Fredrik]

Induction is used when you want to prove one statement P(n) for each positive integer n. Here you want to prove one statement P(s) for each positive real number s, so induction is of no use.

You should take a look at the rules for the homework forum before the next time you start a thread. In particular, you are required to use the template and to show us your work up to the point where you're stuck.