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Byju's Answer
Standard XII
Mathematics
Substitution Method to Remove Indeterminate Form
Find limx →...
Question
Find
lim
x
→
π
2
[
sin
x
]
where
[
x
]
indicates greatest integer function
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Solution
lim
x
→
π
2
[
sin
x
]
Now,
L
.
H
.
L
=
lim
x
→
π
−
2
[
sin
x
]
=
[
sin
(
π
−
2
)
]
=
0
R
.
H
.
L
=
lim
x
→
π
+
2
[
sin
x
]
=
[
sin
(
π
+
2
)
]
=
0
∴
L
.
H
.
L
=
R
.
H
.
L
=
0
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Similar questions
Q.
Find
lim
x
→
(
2
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+
1
)
π
+
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(
[
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n
ϵ
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.
Q.
l
i
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[
[
s
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Q.
lim
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⎡
⎢ ⎢
⎣
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⎤
⎥ ⎥
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[
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Q.
The value of
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Q.
Evaluate the following limits,
where [.] represents greatest integer function and {.} represents fractional part function
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→
π
2
[
s
i
n
x
]
(ii)
lim
x
→
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(iii)
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x
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g
[
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