LimitsHard
Question
, where [.] represents greatest integer function, is equal toOptions
A.- 1
B.1
C.0
D.does not exist
Solution
R.H.L. = 
when x ∈ (0, h) and h → 0 then (1 - ex) ∈ (-1, 0)
and
< 1
So -1 < (1 - ex)
< 0
L.H.L.=
when x ∈ (-h, 0) and h → 0, then ex - 1 ∈ (-1, 0)
and
< 1
So -1 < (ex - 1)
< 0
So
L.H.L. = R.H.L. = -1
when x ∈ (0, h) and h → 0 then (1 - ex) ∈ (-1, 0)
and
< 1So -1 < (1 - ex)
< 0L.H.L.=
when x ∈ (-h, 0) and h → 0, then ex - 1 ∈ (-1, 0)
and
< 1So -1 < (ex - 1)
< 0So
L.H.L. = R.H.L. = -1
Create a free account to view solution
View Solution Free