Let f be a differentiable function in (0,infinite)such that f(1)=1,lim t-x t2 f(x) -x2f(t)/(t-x)=1

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Suppose f(x) is differentiable at x=1 and lim _h → 0f(1+h)/h=5. Then f(1) equals (a) 4 (b) 3 (c) 6 Suppose f(x) is differentiable at x=1 and lim _h → 0f(1+h)/h=5. Then f(1) equals (a) 4 (b) 3 (c) 6
`F(x) =x^3-3x^2+6` and `g(x)= max{F(t):x+1 lt=t lt=x+2} -3 lt=x lt0` and `1-x` for `x gt=0` F `F(x) =x^3-3x^2+6` and `g(x)= max{F(t):x+1 lt=t lt=x+2} -3 lt=x lt0` and `1-x` for `x gt=0` F