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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
k
x
+
2
g(x)=kx+2
g
(
x
)
=
k
x
+
2
with constant
k
k
k
and let
f
(
u
)
=
1
u
f(u)=\dfrac{1}{u}
f
(
u
)
=
u
1
. For which value of
k
k
k
does
lim
x
→
1
f
(
g
(
x
)
)
=
1
5
\displaystyle \lim_{x\to 1} f\bigl(g(x)\bigr)=\dfrac{1}{5}
x
→
1
lim
f
(
g
(
x
)
)
=
5
1
? a)
k
=
−
9
5
k=-\dfrac{9}{5}
k
=
−
5
9
b)
k
=
5
k=5
k
=
5
c)
k
=
3
k=3
k
=
3
d)
k
=
−
5
9
k=-\dfrac{5}{9}
k
=
−
9
5
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