Inductor blocks AC but allows DC to flow

Why Inductor blocks AC but allows DC to flow?

We know,

Inductive reactance, X_L = 2ΠfL
For DC supply the frequency f is zero. So reactance X_L = 0 and it allows DC to flow. But for AC supply there is a frequency. So the reactance X_L is not zero and it blocks AC.

  

Inductor blocks AC while allowing DC to flow because it only resists the change in current. 

_{The equation of inductor is, V = L di/dt}