The limit of (Tan x-x) / (x ^ 2 Tan x) when x approaches 0

Original formula = LIM (x → 0) (tanx-x) / x ^ 3 (TaNx ~ x)
=LIM (x → 0) (1 / cos ^ 2 (x) - 1) / (3x ^ 2) (Law of lobida)
=lim(x→0)sin^2(x)/(3x^2)*lim(x→0)1/cos^2(x)
=1/3*1 (sinx~x)
=1/3

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