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Alternating Series Error for Taylor Approximations
Worksheet
Grade Level
Calculus II
CAL2.148 Alternating Series Error for Taylor Approximations
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Use \(\frac{1}{1+2x}=1-(2x)+(2x)
2
-(2x)
3
+(2x)
4
-\cdots\) at \(x=0.2\), keeping terms through \((2x)
4
\). Which bound is correct?
A
\(∣R∣\le 0.2
5
\)
B
\(∣R∣\le 0.4
5
\)
C
\(∣R∣\le 0.4
4
\)
D
\(∣R∣\le \dfrac{0.4
5
}{5}\)
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