Category
page 1Divergent series
harmonic series
infinite series of the reciprocals of the positive integers
1 − 2 + 3 − 4 + · · ·
infinite series
divergent series
infinite series that is not convergent
1 + 2 + 3 + 4 + · · ·
divergent series
Grandi's series
the infinite sum of alternating 1 and -1 terms
1 + 1 + 1 + 1 + …
divergent series
1 + 2 + 4 + 8 + …
infinite series
1 − 1 + 2 − 6 + 24 − 120 + ⋯
divergent series
1 − 2 + 4 − 8 + ⋯
infinite series