Question

Find the limit. Use L'Hopital's Rule where appropriate. If there is a more elementary method, consider using it. If L'Hopital's Rule doesn't apply, explain why.
(a.) limt>0 (e^(3t)-1)/(t)
(b.) limx>inf (ln(ln(x)))/(x)
(c.) limx>inf [x*tan(1/x)]


For (a) I have limt>0 ((d/dt)(e^(3t)-1))/((d/dt)(t))
=limt>0 (3e^(3t))/(1)
=3
But I don't know what to do now