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Mathematics
Mathematics
Problem
The Maclaurin polynomial of degree
n
n
n
is used to approximate
ln
(
1
+
x
)
\ln(1+x)
ln
(
1
+
x
)
for
0
≤
x
≤
0.2
0\le x\le 0.2
0
≤
x
≤
0.2
. What is the least integer
n
n
n
that guarantees the error is less than
10
−
6
10^{-6}
1
0
−
6
throughout this interval? a)
n
=
6
n=6
n
=
6
b)
n
=
7
n=7
n
=
7
c)
n
=
5
n=5
n
=
5
d)
n
=
8
n=8
n
=
8
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