The previous extract considered quadratic Taylor polynomials
about zero. Providing the function can be differentiated n times at
zero,this approach can be extended and higher order Taylor polynomials
can be found. The next extract extends this idea even further by
finding Taylor polynomials around points other than zero.
Now download the second extract. Print it to read, annotate and
highlight in a way that you might find useful. It is just one page long.
You can now compare your annotations with mine. Don't expect them to be
This is how I thought as I read it.
I hope you have found these activities useful and wish you well in your studies. Taking the time to work through these pages is in itself a good sign.