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KCET 2014 Math Solved Paper
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© examsnet.com
Question : 54
Total: 60
If the function f(x) satisfies
lim
x
→
1
f
(
x
)
−
2
x
2
−
1
=
π
then
lim
x
→
1
f
(
x
)
=
2
3
1
0
Validate
Solution:
Given that,
lim
x
→
1
f
(
x
)
−
2
x
2
−
1
=
π
→ (1)
Clearly, if
lim
x
→
1
f
(
x
)
=
1
or 0 or 3.Then
lim
x
→
1
f
(
x
−
2
)
x
2
−
1
doesn’t exist, that is, contradicting Eq. (1).
Hence, option (1) is the correct answer.
© examsnet.com
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