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2. (it) Knowing that the series, (-1) 12n+1 s Zan=22n+1gl n=o Converges, use the alternating series error criterion (Steawa rt's textbook) to bound the error Rn incurred when approximating by the partial sum, Sn = 23 aj. in terms of n. (ii) Determine, using the criterion from part (i) and trial and error, a value of n such that "ink 10'". (iv) Calculate the partial sum of Sn for the n found in (ii), with 10 decimal places of precision. Compare it to the series value with 12 correct decimal places, which is 0.5235987755982988. Was the desired error achieved