👉 Semiconvergence is a mathematical concept in the field of analysis that refers to the behavior or convergence of a sequence when the elements of the sequence approach zero. This is different from the classical sense of convergence, where a sequence converges if its limit exists and equals a given value. In more general terms, semiconvergence can be defined as the case where the limit of a sequence approaches a finite value, regardless of whether this value is less than or greater than the limit of the sequence itself.