This is actually a technical question about why I'm getting different results when trying to do the same thing using Maxima and WolframAlpha.
When I enter
in WolframAlpha I get
This is what I enter into maxima to get the 5th degree expansion for example
The result is littered with terms containing derivative symbols, unlike the nice-looking polynomial WolframAlpha returns.
My question is how to get Maxima to evaluate the expansion at the point 0 and return the first polynomial?