# contents

## Interactive worksheets and demos

Average rate of change of a quadratic function. Graphs the secant line through two points and calculates the slope.

Limits 1. Graphs to illustrate $$\lim_{x\to 1}\frac{\left(x^2+x-2\right)}{x-1}$$ (in red), $$\lim_{x\to-3}\frac{x}{3x+9}$$ (in green), $$\lim_{x\to 0}\frac{\left|x\right|}{x}$$ (in purple). secant line through two points and calculates the slope.

Limits 2. More graphs illustrating various limits.

Taylor polynomials for $$y = e^x$$, up to degree 6.

Taylor polynomial error. A simpe graph of $$y = \ln x$$ and its 3rd degree Taylor polynomial at $$x = 1$$, with points on each curve. By sliding the points, you see that they move farther apart as the points move away from $$x = 1$$.