Evaluate the limit

Question

lim t→0 (sin^2(6t)/t)?

Answer 1

lim t--->0(sin^2(6t)/t) =lim t--->06^2t(sin^2(6t)/t)^2

                                 =lim t--->06^2t(lim t--->0sin^2(6t)/6t)^2

                                   =36(0)(1)^2           (Since lim t--->0 sint/t =1)

                                    =0