One class of these may be analyzed by a condition named for Dini.
One class of these may be analyzed by a condition named for Dini. Considering one of these objects named for Dirichlet as a function of the exponent in the denominator gives the Riemann zeta function. One of these objects named for Grandi illustrates a restriction to a method of analyzing (*) "telescoping" examples of these objects, while a set that may be analyzed with Abel's criterion includes alternating ones. Geometric ones will converge for all r between minus one and one, and arithmetic ones will always diverge. For 10 points, name this type of object, whose terms are summed rather than listed.
One class of these may be analyzed by a condition named for Dini.
infinite {series} [or {Fourier series} before “{Dirichlet}”]