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Mathematics
Problem
The rational function
f
(
x
)
=
x
2
+
p
x
+
q
x
2
−
1
f(x)=\dfrac{x^{2}+px+q}{x^{2}-1}
f
(
x
)
=
x
2
−
1
x
2
+
p
x
+
q
is to be continuous at every real number. Which one of the following pairs
(
p
,
q
)
(p,q)
(
p
,
q
)
satisfies this requirement? a)
(
2
,
1
)
(2,1)
(
2
,
1
)
b)
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
c)
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
d)
(
0
,
1
)
(0,1)
(
0
,
1
)
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