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How to find alternating series error bound

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10.10Alternating Series Error Bound

And the “structure” in the partial sum & remainder is: With a little twist, we will get the whole idea: ( Since the Rn is the gap between S & Sn, so

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The alternating series estimation theorem to

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Finding an Error Bound of a Taylor Polynomial Approximation

!To find the alternating series error bound, first find the error bound of the corresponding convergent series. Next, use the alternating series test to determine whether

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Error Estimation of Alternating Series

Example Problem 1 - Finding an Error Bound of a Taylor Polynomial Approximation Using the Alternating Series Error Bound Step 1: . Find the Taylor expansion {eq}\sum_ {n=0}^\infty a_n
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Alternating Series Error Approximation

1 For an alternating series ∑ ( − 1) k a k, ( a k) k positive, monotonously falling to zero, the Leibniz test also provides an error bound. For s n the error bound is the next term a n

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