" Prove that "f(x)=|x|-|x+1|" is a continuous function "

Prove that f(x)=|1-x+|x|| is a continuous function at x=0

Prove that f(x)= 2x-|x| is a continuous function at x= 0.

f (x)= {x} and g(x)= [x]. Where { } is a fractional part and [ ] is a greatest integer function. Prove that f(x)+ g(x) is a continuous function at x= 1.

Prove that f (x) =|x| is continuous at x =0

Function f(x)={x-1,x =2 is a continuous function

Prove that f(x)=|x| is continuous at x=0

True or False : The function f(x) = |x-1| is a continuous function.

is f(x)=|x| a continuous function?

Prove that the function f defined by f(x) = x^3 + x^2 -1 is a continuous function at x= 1.

Prove that the function f(x) =2x-|x| is continuous at x=0.