1) Given the Maclaurin\'s sequence for (e ^ -2x) with (x = 0,1), (e ^ -2x = 1- 2 / 1! x + 4/2! x ^ 2- 8/3! x ^ 3 +16 / 4! x ^ 4 +.....) determine the estimated value for (e ^ -2x) and what the error would be if the calculation was carried out only taking into account three terms from the series!

2)  Given the Maclaurin\\\\\\\'s series for cos x:
(Cos x = 1 -x ^ 2/2! + X ^ 4/4! - x ^ 6/6! + .....)
Determine the estimated value for cos (phi / 4) and what the error will be if the calculation is done only taking into account 3 terms of the series (cos (phi / 4) = 0.525322).