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GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper
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© examsnet.com
Question : 13
Total: 65
The value of
lim
x
→
∞
x
2
−
5
x
+
4
4
x
2
+
2
x
is
1
2
1
1
4
0
Validate
Solution:
lim
x
→
0
x
2
−
5
x
+
4
4
x
2
+
2
x
=
4
0
=
0
Applying L's Hospital rule
lim
x
→
0
f
1
(
x
)
f
1
(
x
)
=
2
x
−
5
8
x
+
2
=
−
v
e
So again applying L's Hospital rule
lim
x
→
0
f
′
′
(
x
)
=
2
8
=
1
4
© examsnet.com
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