Equivalence of infinite cardinalities is determined by whether a bijection between sets of those cardinalities exists. In this case, if interpreted as cardinalities, both infinities would be equal.
Also, the order in which you sum the terms in a series can matter. See here: https://en.wikipedia.org/wiki/Alternating_series#Rearrangements
Equivalence of infinite cardinalities is determined by whether a bijection between sets of those cardinalities exists. In this case, if interpreted as cardinalities, both infinities would be equal.
Also, the order in which you sum the terms in a series can matter. See here: https://en.wikipedia.org/wiki/Alternating_series#Rearrangements