Question: Can someone please explain it to me ASAP???!!! This is Alternating Series and Absolute Convergence. Let E (- 1)* *ax be a convergent alternating series

Can someone please explain it to me ASAP???!!! This is Alternating Series and Absolute Convergence.

Can someone please explain it to me ASAP???!!! This is Alternating Series

Let E (- 1)* *ax be a convergent alternating series with terms that are nonincreasing in magnitude, Let Ry = S - S,, be the remainder in approximationg the value of K = 1 that series by the sum of its first n terms. Then |R | san + 1 . In other words, the magnitude of the remainder is less than or equal to the magnitude of the first neglected term. For the convergent alternating series ) (-1) (4k + 1)3 . evaluate the nth partial sum for n = 2. Then find an upper bound for the error S - S, | in using the nth partial sum S,, to estimate the value of the series S. The nth partial sum for the given value of n is (Type an integer or a decimal, Round to seven decimal places as needed.)

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