About this document
Taylor and Maclaurin Series Problems by Joseph Guirguis is a document available to read on EtoBox.
The document contains solutions to problems involving Taylor and Maclaurin series. Specifically: 1) It finds the Taylor polynomial of degree two for the function f(x) = cos(2x) centered at x = π. The polynomial is 1 − 2(x − π)2. 2) It uses the approximation sin(t) ≈ t − t^3/6 + t^5/120 - t^7/5040 to integrate from 0 to 1 and approximate the integral of sin(πt)/πt dt, getting an answer of 0.58678. 3) It finds the Taylor series for the function F(x) = ∫
- Author
- Joseph Guirguis
- Language
- EN