Question

Solution

Correct option is

f(x) = 1 for |x| >1 & f(x) = –1 for |x| < 1

               If |x| > 1, then 

Thus for |x| >1

If |x| < 1, then  therefore for |x| < 1, f(x) = –1.

If |x| = 1 then

 for any n and therefore f(x) = 0

SIMILAR QUESTIONS

Q1

 

Let 

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

Q2

 

Let 

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

 

Q3

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

Q4

For  R, 

Q5

The value of a for which  tends to a finite limit as  is

Q6

Let 

where g is a continuous function. Then  exists if

Q7

The value of  is

Q8

Let Then the value of f (0) so that the function fis continuous is