Question

The number of points at which the function f (x) = 1/log |x| is discontinuous is

Solution

Correct option is

3

The function log |x| is not defined at x = 0, so x = 0 is a point of discontinuity. Also, for f (x) to be defined, log |x| ≠ 0, that is x ≠ ±1. Hence 1 and –1are also points of discontinuity. Thus there are three points of discontinuity of f (x).

SIMILAR QUESTIONS

Q2

If [x] denotes the greatest integer less than or equal to x then  

                   

Q5

Where [x] denotes the greatest integer less than or equal to x, then  equals

Q10

The value of