Abstract
We determine a formula for all coefficients of the Taylor series for the function $ \frac{1}{1+x^2} $ centered at $ x=a $ for any real number $ a $ along with the radius of convergence of the series. We utilize complex numbers to extend a standard calculus technique involving geometric series, but we write the coefficients using real numbers only.
Citation
Scott H. Demsky. Sanford Geraci. "Taylor Series for $\frac{1}{1+x^2}$ at $x=a$." Missouri J. Math. Sci. 33 (2) 158 - 162, November 2021. https://doi.org/10.35834/2021/3302158
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