Published by:
CGP EDU Academic Team
Published on: August 11, 2026
, where [ ⋅ ] represents greatest integer function, is equal to
A
– 1
B
1
C
D
does not exist
Text Solution
Verified by ExpertsThe correct answer is:
A
R.H.L. = 
when x ∈ (0, h) and h → 0 then (1 – e x ) ∈ (–1, 0) and 
< 1
So –1 < (1 – e x ) 
< 0 ; 
L.H.L. = 
= 
when x ∈ (–h, 0) and h → 0, then e x – 1 ∈ (–1, 0) and 
< 1
So –1 < (e x – 1) 
< 0
So 
L.H.L. = R.H.L. = –1
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