Source: wikibot/abel-s-identity
= Abel's identity
{wiki=Abel's_identity}
Abel's identity is a result in mathematics that relates sums and series. It is often used in analysis, especially in the context of series convergence and transformations. The identity can be stated as follows: Let \\( (a_n) \\) be a sequence of real or complex numbers and \\( (b_n) \\) be a sequence of real or complex numbers that is monotonically decreasing and converges to zero.