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Tardigrade
Question
Mathematics
displaystyle limx → 2[(1/x-2)-(2(2x-3)/x3-3x2+2x)] is equal to
Q.
x
→
2
lim
[
x
−
2
1
−
x
3
−
3
x
2
+
2
x
2
(
2
x
−
3
)
]
is equal to
2494
284
Limits and Derivatives
Report Error
A
−
2
1
35%
B
2
1
30%
C
0
15%
D
∞
19%
Solution:
We have,
x
→
2
lim
[
x
−
2
1
−
x
3
−
3
x
2
+
2
x
2
(
2
x
−
3
)
]
=
x
→
2
lim
[
x
−
2
1
−
x
(
x
−
1
)
(
x
−
2
)
2
(
2
x
−
3
)
]
=
x
→
2
lim
[
x
(
x
−
1
)
(
x
−
2
)
x
(
x
−
1
)
−
2
(
2
x
−
3
)
]
=
x
→
2
lim
[
x
(
x
−
1
)
(
x
−
2
)
x
2
−
5
x
+
6
]
=
x
→
2
lim
[
x
(
x
−
1
)
(
x
−
2
)
(
x
−
2
)
(
x
−
3
)
]
=
x
→
2
lim
[
x
(
x
−
1
)
(
x
−
3
)
]
=
2
−
1