differentiability

LET F(X) BE A NON DIFFERENTIABLE FUNCTION IN (-1, INFINITY) AND F(0)=1 SUCH THAT

LIM (t^2F(X+1) - (X+1)^2 F(X))/(F(T)- F(X+1)) = 1
T~ X+1
FIND THE VALUE OF:-
LIM (ln (F(X)) - ln 2)/(x-1)
x~1