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Mathematics
Mathematics
Problem
Given the Taylor polynomial
T
(
x
)
=
5
+
6
(
x
+
2
)
+
7
2
(
x
+
2
)
2
−
1
6
(
x
+
2
)
3
T(x)=5+6(x+2)+\frac{7}{2}(x+2)^2-\frac{1}{6}(x+2)^3
T
(
x
)
=
5
+
6
(
x
+
2
)
+
2
7
(
x
+
2
)
2
−
6
1
(
x
+
2
)
3
, determine the center
a
a
a
and the degree
n
n
n
of the polynomial. Provide your answer in the form
a
=
_
_
,
n
=
_
_
a=\_\_,\;n=\_\_
a
=
__
,
n
=
__
.
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