History: » powerapprox

Prerequisites

### Activity: Using Technology to Visualize Power Series Approximations

$\qquad\qquad\qquad\qquad$ Power Series Worksheet

or the Mathematica notebook

$\qquad\qquad\qquad\qquad$ Power Series Notebook

you have the opportunity to explore what it means to approximate a given function, in this case $f(\theta)=\sin\theta$, by looking at the first few terms of its power series. Using the coefficients that you found in § {Finding Power Series Coefficients}, you can plot both the function $\sin\theta$ and its various approximations found by truncating the power series, first after one non-zero term, then after two non-zero terms, etc.