Let `f:RrarrR` be such that `f(a)=1, f(a)=2`. Then `lim_(x to 0)((f^(2)(a+x))/(f(a)))^(1//x)` is

Let f:RtoR be such that f(1)=3 and f'(1)=6 . Then lim_(xto0)[(f(1+x))/(f(1))]^(1//x) equals

Let f:RtoR be such that f(1)=3 and f'(1)=6 . Then lim_(xto0)[(f(1+x))/(f(1))]^(1//x) equals

Let f: RrarrR be such that f (1) = 3 and f' (1) = 6 Then, lim_(xrarr0)(f(1+x)/(f(1)))^frac(1)(x) equals

Let f : R to R be a differentiable function such that f(2) = -40 ,f^1(2) =- 5 then lim_(x to 0)((f(2 - x^2))/(f(2)))^(4/(x^2)) is equal to

Let f:RrarrR be defined as f(x)=2x .

f(x)=e^x then lim_(x rarr 0) f(f(x))^(1/{f(x)} is

Let f : R to R be a differentiable function satisfying f'(3) + f'(2) = 0 , Then lim_(x to 0) ((1+f(3+x)-f(3))/(1+f(2-x)-f(2)))^(1/x) is equal to

Let f(x) be a quadratic function such that f(0)=f(1)=0&f(2)=1, then lim_(x rarr0)(cos((pi)/(2)cos^(2)x))/(f^(2)(x)) equal to

If f'(x)=f(x) and f(0)=1 then lim_(x rarr0)(f(x)-1)/(x)=

Let f(x) be a twice differentiable function and f^(11)(0)=2 , then Lim_(x to 0) (2f(x)-3f(2x)+f(4x))/(x^(2)) is