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UPSC NDA 2 2012 Mathematics Paper
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© examsnet.com
Question : 61
Total: 120
What is
lim
x
→
0
√
1
+
x
−
1
x
equal to?
0
1
2
1
−
1
2
Validate
Solution:
lim
x
→
0
√
1
+
x
−
1
x
×
√
1
+
x
+
1
√
1
+
x
+
1
=
lim
x
→
0
1
+
x
−
1
x
(
√
1
+
x
+
1
)
=
x
x
(
√
1
+
x
+
1
)
=
1
2
© examsnet.com
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