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