# Thread: help solving a limit

1. ## help solving a limit

Hi, im having trouble solving this limit, lim as k goes to infinity of k^2*sin^2(1/k). Can someone please help me start this one?
Thank You

2. Originally Posted by cowboys111
Hi, im having trouble solving this limit, lim as k goes to infinity of k^2*sin^2(1/k). Can someone please help me start this one?
Thank You
YOu can use L'hopitals rule or the squeeze theorem

3. Hi

You may also notice that $k^2\sin^2 \frac{1}{k}=\left(\frac{\sin \frac{1}{k}}{\frac{1}{k}}\right)^2$ which looks like the derivative of the sine taken at 0 and squared.