LimitsHard
Question
If l =
(sin 
- sin √x) and m =
[sin 
- sin √x], where [.] denotes the greatest integer function, then :
(sin - sin √x) and m =[sin - sin √x], where [.] denotes the greatest integer function, then : Options
A.l = m = 0
B.l = 0 ; m is undefined
C.l, m both do not exist
D.l = 0, m ≠ 0 (although m exist)
Solution
(i) l = 
⇒ l =
⇒ l =
⇒ l =
⇒ l = (oscillating value -1 to 1) × 0 = 0
(ii) m =
when x → ∞
then √x undefined
m is undefined
⇒ l =
⇒ l =
⇒ l =
⇒ l = (oscillating value -1 to 1) × 0 = 0
(ii) m =
when x → ∞
then √x undefined
m is undefined
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