A function `f(x)=x[1+(1/3) sin (Inx^2)], x != 0`. integral part `f(0)=0`. Then the function

The function f(x)=((3^x-1)^2)/(sinx*ln(1+x)), x != 0, is continuous at x=0, Then the value of f(0) is

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

The function f(x)=((3^(x)-1)^(2))/(sin x*ln(1+x)),x!=0, is continuous at x=0, Then the value of f(0) is

Statement I : The range of the function f(x)=(sin([x]pi))/(x^(2)+x+1) is {0} Statement II : The range of the function f(x)=(x-[x])/(1+x-[x]) is [0, 1/2) .

The function f(x)=x cos((1)/(x^(2))) for x!=0,f(0)=1 then at x=0,f(x) is

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0 is