Thread: 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

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

Hi

You may also notice that which looks like the derivative of the sine taken at 0 and squared.