Solución
lim
x
→
6
[
f
(
x
)
+
1
3
g
(
x
)
]
=
lim
x
→
6
f
(
x
)
+
1
3
lim
x
→
6
g
(
x
)
=
7
\mathop {\lim }\limits_{x \to 6} \left[ {f\left( x \right) + {1 \over 3}g\left( x \right)} \right] = \mathop {\lim }\limits_{x \to 6} f\left( x \right) + {1 \over 3}\mathop {\lim }\limits_{x \to 6} g\left( x \right) = 7
x
→
6
lim
[
f
(
x
)
+
3
1
g
(
x
)
]
=
x
→
6
lim
f
(
x
)
+
3
1
x
→
6
lim
g
(
x
)
=
7