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If and , then…
MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Calculus
Problem
If
f
(
x
)
=
2
x
−
3
,
g
(
x
)
=
x
−
3
x
+
4
f(x) = \frac{2}{x-3}, g(x) = \frac{x-3}{x+4}
f
(
x
)
=
x
−
3
2
,
g
(
x
)
=
x
+
4
x
−
3
and
h
(
x
)
=
−
2
(
2
x
+
1
)
x
2
+
x
−
12
h(x) = -\frac{2(2x+1)}{x^2+x-12}
h
(
x
)
=
−
x
2
+
x
−
12
2
(
2
x
+
1
)
, then
lim
x
→
3
[
f
(
x
)
+
g
(
x
)
+
h
(
x
)
]
\lim_{x \rightarrow 3} [f(x) + g(x) + h(x)]
lim
x
→
3
[
f
(
x
)
+
g
(
x
)
+
h
(
x
)]
is (a) -2 (b) -1 (c)
−
2
7
-\frac{2}{7}
−
7
2
(d) 0
Related theory
Limits
Limits and Continuity
Limits of algebraic functions
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