lim x→0 (x∧2 cscx sin(1/x))
=lim x→0 (x^2sin(1/x))/sinx
=lim x→0 (xsin(1/x))(x/sinx)
=lim x→0 (xsin(1/x))lim x→0 (x/sinx)
=0x1
=0