Geometric series complex numbers
GeoGebra script:
Z = 0.5 + ί * 0.3
max = Slider(0, 250, 1, 1, 150, false, true, false, false)
# To explore a different series just change the
# expression "Z^k" in the next line.
# For example try "Z^k/k!" for the exp(z) or "(Z+ί)^(2)k/Z"
S = Sequence( Z^k, k, 1, max)
SP = Sequence(Sum(S, k), k, 1, max+2)
L = Sequence(Segment(Element(SP, k), Element(SP, k+1)), k, 1, max+1)
More info here: Complex Analysis