Question is :

Dear Student,

Ans is (A)

 

If you draw a graph between x and f(x)

f(x) = 0 when x =2, at higher values of x it will approach 1.

f(x) = -1 when x = 1;

f(x) = 1 when x = 1/2;

Now the function will fluctuate too rapidly as x decreases.

If you see values of f(x) for the following values you can judge the patter:

f(1/4) = 1

f(1/5) = -1

f(1/6) = 1

 

This explains the answer

 

Regards,