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Write the Taylor polynomial with center zero and degree 4 for the function f(x) = e^-x 2 Determine the values of p for which the series ∞ Σ 1/(2p)ⁿ n=1 3 Calculate the sum of the first ten terms of the series, then estimate the error made using this partial sum to approximate the sum of the series ∞ Σ sin²n/n^3 n=1
Write the Taylor polynomial with center zero and degree 4 for the function f(x) = e^-x
2 Determine the values of p for which the series
∞
Σ 1/(2p)ⁿ
n=1
3 Calculate the sum of the first ten terms of the series, then estimate the error made using this partial sum to approximate the sum of the series
∞
Σ sin²n/n^3
n=1
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