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,  that Hence 1 and –1 are also points of discontinuity. Thus there are three points of discontinuity of f (x).

 

SIMILAR QUESTIONS

Q1

 

If 

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

Q2

 is equal to  

Q3

 is equal to

Q4

 is equal to

Q5

 is equal to

Q6

 is equal to

Q7

 

The value of f(0) so that the function

          

is continuous at each point in its domain, is equal to

Q8

 

Let 

The values of A and B so that f(x) is continuous everywhere are

Q9

 

Let 

The value which should be assigned to f at x = a so that it is continuous everywhere is

 

Q10

For  R,