Does it really take an infinite time to reach a Black Hole's event Horizon. The forumla for gravitaional time dialation is. $$t_0=t_1\sqrt{1-r_s/r}$$ So I used wolfram alpha to calculate the time that it would take from the perspecitve of distant observer for an object falling from infinity take to appear to travel from 3 times the raidus of the event horizon to the event horizon.
And I get a finite value. What's wrong here.
