Question

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

Solution

Correct option is

limit does not exists

 

Put cot x = t, now as x → 0; cot x exhibits two values for x → 0- and x→ 0  i.e., cot x → + ∞ and cot x → – ∞ respectively.

∴ we should apply right hand and left hand limit;

                                              

                                              

∴ limit does not exists.

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 greatest integer function.)