Let `f:RrarrR` be such that `f(a)=1, f(a)=2`. Then `underset(xrarr0)(lim)((f^(2)(a+x))/(f(a)))^(1//x)` is

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

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 defined as f(x)=x^(4) . Then :

Let f:RrarrR be defined as f(x)=3x . Then :

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

Let f(x) be twice differentiable function such that f'(0) =2 , then, lim_(xrarr0) (2f(x)-3f(2x)+f(4x))/(x^2) , is