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Byju's Answer
Standard XII
Mathematics
Algebra of Limits
solve the lim...
Question
solve the limit
lim
x
→
3
2
x
−
3
A
2
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B
3
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C
4
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D
Does not exist
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Solution
The correct option is
C
Does not exist
lim
x
→
3
2
x
−
3
put
h
=
x
−
3
lim
h
→
0
2
h
this is
2
0
that is not defined.
so limit does not exist.
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0
Similar questions
Q.
The limit
lim
x
→
2
x
2
−
4
x
−
2
does not exist
Q.
If
f
(
x
)
=
[
x
]
−
[
x
4
]
,
x
∈
R
, where
[
x
]
denotes the greatest integer function, then :
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.
show that
lim
x
→
4
|
x
−
4
|
x
−
4
does not exists
Q.
Let
f
(
x
)
=
x
3
{
√
x
2
+
√
x
4
+
1
−
x
√
2
}
. Then
l
i
m
x
→
∞
f
(
x
)
is equal to
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