- #1

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## Homework Statement

[tex] \lim_{t→∞}\frac{sin (t)}{\sqrt{t}} [/tex]

## Homework Equations

## The Attempt at a Solution

This was actually part of a larger problem about improper integrals. The problem has been reduced to this, but I have no idea how to proceed from here. I know that sin(x) behaves very bizarrely at infinity, so I don't know if L'Hopital's rule can even be applied here.

My intuition tells me that the answer is 0, but how can we prove this? Must we refer to the ε-δ definition?

BiP