Find the limit when (sin ^ 3x) / (Tan (x ^ 3)) x tends to 0 Such as the title

Find the limit when (sin ^ 3x) / (Tan (x ^ 3)) x tends to 0 Such as the title


lim(x→0)sin^3x/tanx^3
Substitution with equivalent infinitesimal
=lim(x→0)3x/x^3
Using the law of lobida
=lim(x→0)3/3x^2
=Infinity



Limit: SiN x ^ Tan x (x → π / 2)


1



Limit: SiN x ^ Tan x (x → π)


When x → π +, SiNx is negative and cannot be logarithmic