Consider function

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider function

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

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

. Then, the incorrect statement is (1) it is continuous at the origin (2) it is not derivable at the origin (3) the range of the function is

R

(4)

f

is continuous and derivable in its domain