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Standard XI
Mathematics
NCERT
Question
Evaluate the Given limit:
lim
x
→
3
x
4
−
81
2
x
2
−
5
x
−
3
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Solution
Verified by Toppr
lim
x
→
3
x
4
−
81
2
x
2
−
5
x
−
3
=
lim
x
→
3
(
x
−
3
)
(
x
+
3
)
(
x
2
+
9
)
(
x
−
3
)
(
2
x
+
1
)
=
lim
x
→
3
(
x
+
3
)
(
x
2
+
9
)
2
x
+
1
=
(
3
+
3
)
(
3
2
+
9
)
2
(
3
)
+
1
=
6
×
18
7
=
108
7
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