4
You visited us
4
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Properties with Negative X
Limit tends t...
Question
Limit tends to π/2
Arc Cos[Cot X]
Where [ .] Represents greatest integer X
Open in App
Solution
When Lim x tends to π/2
[Cot x]=0
lim x tends to 0 arccos[cot x]=
arccose 0 = cos inverse( 0)
=π/2
Suggest Corrections
4
Similar questions
Q.
If
f
(
x
)
=
2
[
x
]
+
cos
(
[
−
π
]
x
)
, where
[
.
]
represents greatest integer function, then
Q.
Evaluate:
∫
[
sin
x
]
d
x
for
x
∈
(
0
,
π
2
)
, where [.] represents greatest integer function.
Q.
The value of
100
∫
0
(
x
−
[
x
]
)
d
x
,
where
[
⋅
]
represents the greatest integer function, is
Q.
The range of
f
(
x
)
=
cos
[
x
]
,
−
π
4
<
x
<
π
4
,where
[
]
represent greatest integer function less than or equal to
x
is
Q.
∫
π
0
[
c
o
t
x
]
d
x
,
w
h
e
r
e
[
⋅
]
denotes the greatest integer function, is equal to:
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Property 1
MATHEMATICS
Watch in App
Explore more
Properties with Negative X
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app