[Solution Library] Use the power series (1)/(1+x)=∑_n=0^∞(-1)^n x^n to determine a power series, centered at 0, for the function. Identify the interval
Question: Use the power series \(\frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}\) to determine a power series, centered at 0, for the function. Identify the interval of convergence.
\(h(x)=\frac{x}{x^{2}-1}=\frac{1}{2(1+x)}-\frac{1}{2(1-x)}\)
Deliverable: Word Document 
![[See Steps] Use the power series (1)/(1+x)=∑_n=0^∞(-1)^n](/images/solutions/MC-solution-library-54679.jpg "[See Steps] Use the power series (1)/(1+x)=∑_n=0^∞(-1)^n")
[See Steps] Use the power series (1)/(1+x)=∑_n=0^∞(-1)^n
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[All Steps] Use the definition to find the Taylor series (centered
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[See Solution] Use the definition to find the Taylor series (centered
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[Solution Library] Determine whether the sequence with the given n
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[Solution Library] Find the sum of the convergent series.
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