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(Solved): Determine how many terms are needed to estimate the sum of the series to within \( 0.0001 \). \[ \ ...



Determine how many terms are needed to estimate the sum of the series to within \( 0.0001 \).
\[
\sum_{k=0}^{\infty}(-1)^{k}

Determine how many terms are needed to estimate the sum of the series to within \( 0.0001 \). \[ \sum_{k=0}^{\infty}(-1)^{k} \frac{9^{k}}{k !} \] terms are needed.


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