Infinity in Calculus

[Happypig375]

Especially in sum. Implementing infinite series would enable arbitrary precise decimal outputs for pi, e and the (inverse) trigonometric functions. Helps implementing #221.

[jiggzson]

See #148

[Happypig375]

While #134 and #148 are closed, this is still not implemented. sum(1/(2^x),x,1,Infinity) won't evaluate.

[Happypig375]

sum(1/(2^x),x,1,Infinity) should=> 1

[Happypig375]

Request reopen

[jiggzson]

Aren't we getting a bit into limits here?

[Happypig375]

True, but when we talk about infinite series/products/integrals, we do not write things like limit(sum(1/(2^n),n,1,x),x,Infinity), but we instead write sum(1/(2^n),n,1,Infinity). The implementation could use some limits though.