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EAMCET Engineering 2007 Solved Paper
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© examsnet.com
Question : 142
Total: 160
If
f
(
x
)
=
(
s
i
n
(
1
+
[
x
]
)
[
x
]
for
[
x
]
≠
0
0
for
[
x
]
=
0
where
[
x
]
denotes the greatest integer not exceeding
x
, then
lim
x
→
0
−
f
(
x
)
is equal to
-1
0
1
2
Validate
Solution:
Given,
f
(
x
)
=
(
s
i
n
(
1
+
[
x
]
)
[
x
]
for
[
x
]
≠
0
0
for
[
x
]
=
0
lim
x
→
0
−
f
(
x
)
=
lim
x
→
0
−
s
i
n
(
1
+
[
x
]
)
[
x
]
=
s
i
n
(
1
−
1
)
−
1
=
0
© examsnet.com
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