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BITSAT 2013 Solved Question Paper
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© examsnet.com
Question : 99
Total: 150
Let f(x) = (
x
5
– 1)(
x
3
+ 1), g(x) = (
x
2
– 1)(
x
2
– x + 1) and let h(x) be such that f(x) = g(x)h(x). Then
lim
x
→
1
h (x) is
0
1
3
5
Validate
Solution:
Given f (x) = g(x) h(x)
⇒ h (x) =
f
(
x
)
g
(
x
)
⇒
lim
x
→
1
h (x) =
lim
x
→
1
f
(
x
)
g
(
x
)
⇒
lim
x
→
1
(
x
5
−
1
)
(
x
3
+
1
)
(
x
2
−
1
)
(
x
2
−
x
+
1
)
=
lim
x
→
1
x
5
−
1
5
x
−
1
=
5
×
1
4
= 5
© examsnet.com
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