Power Series Practice

  • Power Series
  • Static Fields 2024
    1. Calculate the \(n=0, 1, 2, 3, 4\) coefficients of the power series for \(\cos{z}\) expanded around \(z=\pi\). Using these coefficients, find a power series approximation for this function.
    2. Plot both the original function and your approximation.
    3. For what values of \(z\) is your approximation “good”?