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KEAM 2017 Math Paper
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© examsnet.com
Question : 6
Total: 120
If
f
(
9
)
=
f
′
(
9
)
=
0
, then
lim
x
→
9
√
f
(
x
)
−
3
√
x
−
3
is
0
f(0)
f ′(3)
f(9)
1
Validate
Solution:
lim
x
→
9
√
f
(
x
)
−
3
√
x
−
3
[
0
0
form
]
=
lim
x
→
9
f
′
(
x
)
2
√
f
(
x
)
1
2
√
x
=
lim
x
→
9
√
x
f
′
(
x
)
√
f
(
x
)
=
√
9
f
′
(
a
)
√
f
(
a
)
=
3
×
0
3
=
0
© examsnet.com
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