Making plots, special functions and Series expansion

It knows all of the functions, including yours and my favorite orthogonal polynomials.

You have already figured out that if the first number in the argument, is odd, the polynomial is an odd function.  If it is even, the polynomial is an even function.  

From math you may already recall:

Was this magic?

This is also magic.

One of the most fun things to do is expand things.

A secret command that you always need with "Series" is "Normal".  Normal turns the expression with the error term into just a regular expression.

Try some other lengths

Do you see the pattern?

Which is the real function?s

This is not as convenient as Matlab for sure:

We can always do white!