Mathematics

Problem

Consider function

f: \mathbb{R} \setminus \{-1, 1\} \to \mathbb{R}

f(x) = \frac{x}{1 - |x|}

. Then, the incorrect statement is a. it is continuous at the origin b. it is not derivable at the origin c. the range of the function is

R

f

is continuous and derivable in its domain