Hello

I'm having trouble calculating the following limit:

limit as x goes to zero of ( x^2 * sin(1/x) ) / sinx

I can see that it's an indeterminate form of 0/0 so it seems like classic L'Hospital,

but when I take the limit of the derivatives it comes out:

(2x * sin(1/x) - cos(1/x) ) / cosx

and cos(1/x) has no limit at zero, so I don't know what to do.