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NIMCET 2021 Question Paper with solutions
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© examsnet.com
Question : 20
Total: 120
lim
x
→
∞
(
x
+
7
x
+
2
)
x
−
5
equal to
e
5
e
−
5
e
2
e
−
2
Validate
Solution:
lim
x
→
∞
(
x
+
7
x
+
2
)
x
−
5
⇒
lim
x
→
∞
[
1
+
x
+
7
x
+
2
−
1
]
x
+
5
⇒
e
lim
x
→
∞
(
x
+
7
x
+
2
−
1
)
x
+
5
⇒
e
lim
x
→
∞
5
(
x
+
5
)
x
+
2
⇒
e
5
© examsnet.com
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