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Problem
Problem
If
f
(
x
)
=
3
x
2
+
a
x
+
a
+
1
x
2
+
x
−
2
f(x) = \frac{3x^2 + ax + a + 1}{x^2 + x - 2}
f
(
x
)
=
x
2
+
x
−
2
3
x
2
+
a
x
+
a
+
1
, which of the following can be correct? a.
lim
x
→
1
f
(
x
)
\lim_{x \to 1} f(x)
lim
x
→
1
f
(
x
)
exists
⇒
a
=
−
2
\Rightarrow a = -2
⇒
a
=
−
2
b.
lim
x
→
−
2
f
(
x
)
\lim_{x \to -2} f(x)
lim
x
→
−
2
f
(
x
)
exists
⇒
a
=
13
\Rightarrow a = 13
⇒
a
=
13
c.
lim
x
→
1
f
(
x
)
=
4
/
3
\lim_{x \to 1} f(x) = 4/3
lim
x
→
1
f
(
x
)
=
4/3
d.
lim
x
→
−
2
f
(
x
)
=
−
1
/
3
\lim_{x \to -2} f(x) = -1/3
lim
x
→
−
2
f
(
x
)
=
−
1/3
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