Can I have some help on this problem? I need to find the limit, and use I'Hospital's Rule where appropriate! the limit as t goes to infinity of tsin(pi/t)

Question

Can I have some help on this problem?  I need to find the limit, and use I'Hospital's Rule where appropriate!  the limit as t goes to infinity of tsin(pi/t)

psymon · Answer

I believe this should work. But you need to be kind of sneaky and change tsin(pi/t) into sin(pi/t)/(1/t), then take the limit of top and bottom with l'hopitals rule.

psymon · Answer

*derivative of top and bottom

anonymous · Answer

oh yes that makes sense!
okay so how do i take derivative of sin (pi/t)