If f(x) is continuous and differerntiable function such that `f((1)/(n))=0` for all `n in N`, then

If f(x) is continuos and differentiable function such that f(1/n) = 0 for all n in N , then

A function f:R to R is differernitable and satisfies the equation f((1)/(n)) =0 for all integers n ge 1 , then

A function f:R to R is differernitable and satisfies the equation f((1)/(n)) =0 for all integers n ge 1 , then

If f is an odd continuous function in [-1,1] and differentiable in (-1,1) then a. f'(A)=f(1)" for some "A in (-1,0) b. f'(B) =f(1)" for some "B in (0,1) c. n(f(A))^(n-1)f'(A)=(f(1))^(n)" for some " A in (-1, 0), n in N d. n(f(B))^(n-1)f'(B)=(f(1))^(n)" for some" B in (0,1), n in N

If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if (f(x))^(2)=1, forall x in [0,n], then number of functions f(x) are

If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if (f(x))^(2)=1, forall x in [0,n], then number of functions f(x) are

If f(x) is a real-valued function discontinuous at all integral points lying in [0,n] and if (f(x))^(2)=1, forall x in [0,n], then number of functions f(x) are

Show that the function f:N rarr N given by,f(n)=n-(-1)^(n) for all n in N is a bijection.

Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^(n^2))+n^2/(n^2+1) Then the value of f(0) is

Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^(n^2))+n^2/(n^2+1) Then the value of f(0) is