Infinite series

[pinkman]

(06-10-2020 02:16 AM)lrdheat Wrote:  Summation of (1/x^3) from x=1 to infinity produces Zeta(3) which is correct, ~1.20206. Why does summation of (1/x^2) from x=1 to infinity produce +/- infinity on my G2? For that matter the summation for 1/x^odd integer produces correct results, incorrect for (1/x^even integer). A summation of (1/x^p) should converge for any p>1.

Seeing the above answers you should give us the command line you used.
Mine are:

Home:

Code:


approx(Σ(1/X^2,X,1,∞))

CAS:

Code:


Σ(1/x^2,x,1,∞)