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Mathematics
Problem
A function
p
p
p
has the following values near
x
=
−
1
x=-1
x
=
−
1
.
x
–1.10
–1.05
–1.01
–0.99
–0.95
p(x)
–4.02
–4.01
–4.0004
–3.9996
–3.99
Let
q
(
x
)
=
k
+
p
(
x
)
q(x)=k+p(x)
q
(
x
)
=
k
+
p
(
x
)
. Determine the constant
k
k
k
so that
lim
x
→
−
1
q
(
x
)
=
0
\displaystyle \lim_{x\to -1} q(x)=0
x
→
−
1
lim
q
(
x
)
=
0
.
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