Does f (x) = x / X have a limit when x approaches 0

Does f (x) = x / X have a limit when x approaches 0


Of course, defined by limit, limit exists and is equal to 1



Find the left and right limits of F (x) = x / X.G (x) = | x | / X. when x tends to 0, and explain whether their limits exist when x tends to 0


The left and right limits of F are equal to 1, so the existence of limit is equal to 1
But the left limit of G is - 1 and the right limit is 1, so the limit does not exist