Convergencia de series

Convergencia de series refers to whether the sum of an infinite sequence of numbers approaches a specific, finite value as more and more terms are added. Imagine adding smaller and smaller amounts; if these additions settle around a certain number instead of growing indefinitely, the series converges. Conversely, if the total keeps increasing without bound, it diverges. This concept helps mathematicians determine whether infinite processes yield meaningful results or not, ensuring the sums of complex series can be used reliably in calculations and applications across science and engineering.