Function Question

Questions
1

I’m trying to create an activity that will help my students understand the concept behind power series, namely that they can be used to represent functions (prelude to getting into Taylor series).

What I’d like to do is have a table where the students enter “n” - the upper limit of a sum, and have the table compute the sum of the power series to that point to output in the second column. Something along the lines of

sum(1/k!, k=0, k=n) where n is the value entered by the student.

Is this possible using simplefunction? If not, is there a way to do it?

Thanks.

2

I think the easiest solution is to have a hidden graph do the calculations:
https://teacher.desmos.com/activitybuilder/custom/67e1d1a8d56f73786f0294bb

3

totally possible, just this:
sum=simpleFunction("\sum_{k=0}^{n}\frac{1}{k!}","n").evaluateAt(n) n=table.cellNumericValue(1,1)

which is exactly what @Guzman_Tierno did in the graph component, but using simpleFunction as per request.