| 197 | A geometric series | Easy | Lemma | Geometric series | |
| 511 | Just past the harmonic series | Easy | Lemma | Series | |
| 513 | The exponential series | Easy | Lemma | Series | |
| 1599 | Sum of Alternating Harmonic Series | Easy | Hall & Knight | logarithmic seriesalternating series | |
| 1607 | Sum of exponential differences | Easy | Hall & Knight | Exponential seriesSeries summation | |
| 1691 | Alternating Series with Positive Parameters | Easy | Hall & Knight | alternating seriesconvergence tests | |
| 1692 | Reciprocal Products Series | Easy | Hall & Knight | telescoping seriesconvergence tests | |
| 1693 | General Alternating Product Series | Easy | Hall & Knight | alternating seriesLeibniz test | |
| 1696 | Divergence Test via Term Size | Easy | Hall & Knight | divergence testnth term test | |
| 1697 | Convergence of square root fraction series | Easy | Hall & Knight | seriesdivergence test | |
| 1882 | Radical difference series first part | Easy | Hall & Knight | rationalizationlimit comparison test+1 | |
| 1884 | Shifted harmonic series | Easy | Hall & Knight | harmonic seriescomparison test | |
| 198 | Odd squares from Basel | Medium | Classical | Splitting a seriesBasel problem | |
| 200 | Barely divergent | Medium | Lemma | Integral test | |
| 508 | A telescoping series | Medium | Lemma | Series | |
| 509 | An arithmetico-geometric series | Medium | Lemma | Series | |
| 510 | The alternating harmonic series | Medium | Lemma | Series | |
| 512 | Conditional convergence | Medium | Lemma | Series | |
| 514 | Another telescope | Medium | Lemma | Series | |
| 1600 | Sum of a Logarithmic Series with Base 2 | Medium | Hall & Knight | logarithmic seriesseries summation | |
| 1601 | Logarithmic Difference Expansion | Medium | Hall & Knight | logarithmic seriesseries expansion | |
| 1603 | Logarithm as a Power Series | Medium | Hall & Knight | logarithmic series | |
| 1604 | High-Precision Logarithm | Medium | Hall & Knight | logarithmic seriesnumerical approximation | |
| 1605 | Sum of reciprocal factorial series | Medium | Hall & Knight | Exponential seriesSeries summation | |
| 1606 | Logarithmic power series identity | Medium | Hall & Knight | Logarithmic seriesPower series expansion | |
| 1609 | Logarithmic expansion involving reciprocal powers | Medium | Hall & Knight | Logarithmic seriesPower series | |
| 1610 | Logarithmic expansion and general term | Medium | Hall & Knight | Logarithmic seriesGeneral term | |
| 1611 | Logarithmic Expansion and General Term | Medium | Hall & Knight | Logarithmic seriesGeneral term | |
| 1612 | Logarithmic Relation Proof | Medium | Hall & Knight | Logarithmic seriesAlgebraic manipulation | |
| 1613 | Logarithm with Quadratic Roots | Medium | Hall & Knight | Roots of a quadraticLogarithmic series | |
| 1614 | Logarithm Expansion Involving n | Medium | Hall & Knight | Logarithmic seriesExpansions | |
| 1616 | Sum of a Cubes Factorial Series | Medium | Hall & Knight | Exponential seriesFactorial series | |
| 1617 | Logarithmic Difference Series | Medium | Hall & Knight | Logarithmic series | |
| 1618 | Transformation of Logarithmic Series | Medium | Hall & Knight | Logarithmic series | |
| 1694 | Power Series Convergence | Medium | Hall & Knight | ratio testpower series | |
| 1695 | Modified Power Series Convergence | Medium | Hall & Knight | ratio testpower series | |
| 1698 | Convergence of polynomial-coefficient power series | Medium | Hall & Knight | power seriesratio test | |
| 1699 | Series with parameter p in denominator | Medium | Hall & Knight | p-seriescomparison test | |
| 1700 | Power series with quadratic denominator | Medium | Hall & Knight | power seriesratio test | |
| 1701 | Power series with rational coefficient | Medium | Hall & Knight | power seriesratio test | |
| 1702 | Exponential-coefficient power series | Medium | Hall & Knight | power seriesratio test | |
| 1703 | Complex power term series | Medium | Hall & Knight | root testratio test+1 | |
| 1704 | Factorial-like power tower series | Medium | Hall & Knight | root testratio test+1 | |
| 1705 | Factorial series with power | Medium | Hall & Knight | convergencyratio test | |
| 1706 | Cauchy's root test condition | Medium | Hall & Knight | root testconvergency | |
| 1708 | Binomial expansion terms at x = 1 | Medium | Hall & Knight | binomial theoremseries expansion | |
| 1709 | Convergence of a power series | Medium | Hall & Knight | Ratio testPower series+1 | |
| 1710 | Convergence of a hypergeometric series | Medium | Hall & Knight | Ratio testPower series+1 | |
| 1711 | Convergence of a power series with even powers | Medium | Hall & Knight | Ratio testPower series+1 | |
| 1712 | Convergence involving factorials and powers | Medium | Hall & Knight | Ratio testFactorials+1 | |
| 1713 | Another factorial-power series | Medium | Hall & Knight | Ratio testFactorials+1 | |
| 1714 | Convergence of a squared-term series | Medium | Hall & Knight | Ratio testPower series+1 | |
| 1715 | Series convergence with parameters | Medium | Hall & Knight | convergencyratio test | |
| 1883 | Radical difference series second part | Medium | Hall & Knight | rationalizationp-series+1 | |
| 199 | Radius of convergence | Deep | Lemma | Ratio testLimits involving e | |
| 1602 | Inverse Logarithmic Series | Deep | Hall & Knight | reversion of seriesexponential series+1 | |
| 1608 | Common logarithms of 7, 11, and 13 | Deep | Hall & Knight | Logarithmic seriesNumerical approximation | |
| 1615 | Coefficient of x^n in Logarithm Expansion | Deep | Hall & Knight | Power seriesLogarithmic series | |
| 1619 | Logarithms of Small Primes | Deep | Hall & Knight | LogarithmsDecimal approximations | |
| 1707 | Finiteness of an infinite product | Deep | Hall & Knight | infinite productsconvergency | |
| 1716 | Higher-order ratio test | Deep | Hall & Knight | Raabe's testlogarithmic test | |