Question

The discontinuous points of $f\left(x\right)=\frac{1}{\log |x|}$ are

• A. $0,\pm 2$
• B. $1,\pm 2$
• C. $0,\pm 1$
• D. $0,\pm 3$

Answer 1

The correct option is C $0,\pm 1$

Points of discontinuity for $f\left(x\right)=\frac{1}{log|x|}$, are the points where graph of $f\left(x\right)$ have sharp point or $f\left(x\right){\to }_{-}^{+}\infty$

i.e; $|x|=0,1$

$⟹x=0{,}_{-}^{+}1$