Let fRtoR be a function we say that f ha...

Let `fRtoR` be a function we say that f has
property 1 if `underset(hto0)(lim)(f(h)-f(0))/(sqrt(|h|))` exist and is finite.
Property 2 if `underset(h to 0)(lim)(f(h)-f(0))/(h^(2))` exist and is finite. Then which of the following options is/are correct?

Similar Questions

Explore conceptually related problems

If underset(x to a)("lim")(f(x)-f(a))/(x-a) exists, then

If a function f is differentiable at x= a, then underset(hto0)("lim")(f(a-h)-f(a))/(h)=

If f is derivable function of x, then underset(hto0)("lim")(f(x+h)-f(x-h))/(h)=

If f(0)=0" and "underset(xto0)("lim")(f(x))/(x) exists then this limits is equl to

(d)/(dx)[underset(hto0)("lim")((x+h)^(4)-x^(4))/(h)]=

Let f be an even function and f'(0) exists, then f'(0) is