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arechnitzer / CLP2

"CLP-2 Integral Calculus" open source textbook
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enhancement: add some graphs to the Power Series sections #20

Open cbm755 opened 3 years ago

cbm755 commented 3 years ago

Graph of $1/(1-x)$ with a few power series partial sums is IMHO useful. Maybe one example could be that?

I like moving people's thinking from:

(A) $\sum ax^n$ where $a$ and $x$ are parameters and we are constructing lots of series of numbers (for each x).

to:

(B) $\sum ax^n$ is a sum of functions. We can think about how that series of functions converges for many $x$ at once.

arechnitzer commented 3 years ago

@joelfeldman is having a think about the best place to include this... but it probably won't make it into this revision set. Perhaps this is better in CLP1 where we do Taylor polynomials?