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