lim(x→0)tan3x/sin4x (x → 0) is under Lim

lim(x→0)tan3x/sin4x (x → 0) is under Lim

I don't know if you have studied Taylor's expansion, the equivalent infinitesimal method of power series expansion
TaNx ~ x, these two are equivalent infinitesimals
tan3x~3x,
Similarly, there are:
sinx~x,sin4x~4x.
So: Tan 3x / sin 4x and 3x / 4x have the same limit 3 / 4