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Byju's Answer
Standard XII
Mathematics
Properties of Conjugate of a Complex Number
Let f x =√ ...
Question
Let
f
(
x
)
=
√
x
+
3
x
+
1
, then the value of
lim
x
→
−
3
−
0
f
(
x
)
is
A
0
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B
Does not exist
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C
1
2
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D
−
1
2
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Solution
The correct option is
C
Does not exist
lim
x
→
−
3
−
0
√
x
+
3
x
+
1
But
√
x
+
3
is not defined on left hand side of
−
3
.
Hence, function is not defined.
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0
Similar questions
Q.
Let
f
(
x
)
=
1
−
x
(
1
+
|
1
−
x
|
)
|
1
−
x
|
cos
(
1
1
−
x
)
for
x
≠
1.
Then
Q.
Let
f
(
x
)
=
x
3
{
√
x
2
+
√
x
4
+
1
−
x
√
2
}
. Then
l
i
m
x
→
∞
f
(
x
)
is equal to
Q.
Let
f
x
=
x
+
1
,
if
x
≥
0
x
-
1
,
if
x
<
0
.
Prove that
lim
x
→
0
f
x
does not exist.
Q.
f
(
x
)
=
⎧
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪
⎩
tan
x
−
sin
x
x
3
;
x
<
0
cot
−
1
x
−
cos
−
1
x
x
3
;
x
>
0
1
2
;
x
=
0
Then which of the following is correct
Q.
Let
f
(
x
)
=
⎧
⎨
⎩
1
+
2
x
a
,
0
≤
x
<
1
a
x
,
1
≤
x
<
2
. If
lim
x
→
1
f
(
x
)
exists, then the value of
a
could be
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Standard XII Mathematics
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