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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