converging series
[/kənˈvɜːrdʒɪŋ ˈsɪriz/]
nounpl: converging series
série convergente
1. In mathematics, a series whose partial sums approach a finite limit as the number of terms increases indefinitely
The geometric series 1/2 + 1/4 + 1/8 + ... is a converging series with a sum of 1.
A série geométrica 1/2 + 1/4 + 1/8 + ... é uma série convergente com soma igual a 1.
2. A sequence of numbers being added together that stabilizes toward a specific value
We can prove that this converging series converges to π using calculus.
Podemos provar que esta série convergente converge para π usando cálculo.
This is primarily technical mathematical terminology used in academic and scientific contexts in both Brazil and the USA. It is essential vocabulary for students of mathematics, physics, engineering, and related fields. The concept is taught at the undergraduate level in calculus and analysis courses.
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