Assignment:
Q1. Write the Taylor polynomial with center zero and degree 4 for the function f(x) = e^-x
Q2. Determine the values of p for which the series
∞
Σ 1/(2p)n
n=1
Q3. 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/n3
n=1
Provide complete and step by step solution for the question and show calculations and use formulas.