Question

In the topic of mathematical limits, what does converges and diverges mean?

Answer 1

In the analysis of an infinite series, the sequence of partial sums are can be classified as either convergent of divergent. The series can be classified as a convergent sequence when a limit exists and is finite. The opposite is true, where the sequence of partial sums can be classified as a divergent sequence when the limit doesn't exist or is positive of negative infinity.