Curves `y=f(x)` passing through the point `(0,1)` and `y=int_-oo^x f(t) dt` passing through
Channel: Doubtnut
Date: 12/04/2020

Curves `y=f(x)` passing through the point `(0,1)` and `y=int_-oo^x f(t) dt` passing through the point `(0,1/3)` are such that the tangents drawn to them at the point with equal abscissae intersect on x-axis. Answer the question:`lim_(xrarr0) ((f(x))^2-1)/x=` (A) `3` (B) `6` (C) `4` (D) none of these