Which one of the following is correct in respect of the function `f(x)=(x^(2))/(|x|)" for "xne0andf(0)=0`

Which one of the following is correct in respect of the function f(x)=(x^(2))/(|x|) for xne0 and f(0)=0 ?

Consider the following statements in respect of the function f(x)=sin((1)/(x)) for xne0 and f(0)=0 1. underset(xrarr0)lim f(x) exists 2. f(x) is continuous at x = 0 Which of the above statements is/are correct?

Which one the following graph represents the function f(x)=(x)/(x),xne0 ?

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

What is the range of the function f(x)=(|x|)/(x), xne0 ?

Consider the function f(x)={{:((sin2x)/(5x),if ,xne0),((2)/(15),if,x=0):} Which one of the following is correct in respect of the function?

Consider the function: f(x)={{:((sin2x)/(5x),"if",xne0),((2)/(15),"if",x=0):} Which one of the following is correct in respect of the function?

On which of the following intervals in the function f(x)=2x^2-log|x|,xne0 increasing ?

On which of the following intervals in the function f(x)=2x^2-log|x|,xne0 increasing ?

Discuss the continuity of the function f(x)=1/x,xne0