Question

Solve   , where [.] denotes the greatest integer function.

Solution

Correct option is

limit does not exists

 

, since we have greatest integral function we must define function.

Now, RHL (put x = 0 + h)

            

⇒ RHL = 0

again, LHL (put x = 0 – h)

           

⇒ LHL = – 1

∴ limit does not exists as RHL = 0 and LHL = – 1

SIMILAR QUESTIONS

Q1

Solve  (where [.] denotes greatest integer function.)

Q2

Solve    (where [.] denotes greatest integer function.)

Q3

Solve    (where [.] denotes greatest integer function.)

Q4

Solve   (where [.] denotes greatest integer function.)

Q5

Solve   (where [.] denotes greatest integer function.)

Q6

Solve   (where [.] denotes greatest integer function.)

Q7

Solve    (where [.] denotes greatest integer function.)

Q8

Solve   (where [.] denotes greatest integer function.)

Q9

Solve   (where [.] denotes greatest integer function.)

Q10

Solve , where [.] denotes the greatest integer function.