Let `f:A->R`, where `A=R\ {0}` is such that `f(x)=(x+|x|)/x` On which one of the following sets is f(x) continuous?

Let f:ArarrR , where A=R//(0) is such that f(x)=(x+|x|)/(x) . On which one of the following sets is f(x) continuous?

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fractional part of x. Then, which of the following is/are correct?

Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fractional part of x. Then, which of the following is/are correct?

Let f:R rarr R defined by f(x)=cos^(-1)(-{-x}), where {x} denotes fractional part of x. Then, which of the following is/are correct?

Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in R If f(x) is differentiable at x=0. then, which one of the following is incorrect?

Let f:R rarr R be a continuous function such that |f(x)-f(y)|>=|x-y| for all x,y in R then f(x) will be

Let f:R->R be a continuous function such that |f(x)-f(y)|>=|x-y| for all x,y in R ,then f(x) will be