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Results tagged with taylor-series
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user 21917
Taylor series is a method to analyze functions as polynomials.
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Zeros of partial sums of $(1+z)/(1-z)$ near $z=-1$
Let $p_n(z)$ be the $n^\text{th}$ partial sum of the Maclaurin series for $f(z) = (1+z)/(1-z)$. For large $n$ the zeros of $p_n$ appear to avoid the point $z=-1$:
Figure: Zeros of $p_{40}$ and the …
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