Question

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

                   

Solution

Correct option is

x/2

For any integer k

          Kx – 1 < [kx] < kx + 1 

  

Taking limit as n → ∞, we have 

          

SIMILAR QUESTIONS

Q1

If x = at3y = bt2 (t a parameter), find:.

Q2

Differentiate xx (x > 0) from first principles.

Q3

Find the derivative with respect to x of the function: 

                            . 

Q5
Q7

f (x) = [sin x] where [.] denotes the greatest integer function is continuous at