If α is a reapeated root of ax2+bx+c=0, then limx→atan(ax2+bx+c)(x−α)2 is
a
b
c
0
limx→a[tan(ax2+bx+c)(x−α)2] =limx→a[tan{a(x−a)(x−a)}a(x−α)2] =1×a =a