Check that the series given below is convergent or divergent. (a)∑n=1∞(−1)nnn+1. (b)∑n=1∞(−1)nnn2+1. (c)∑n=1∞3n5n−22n. Alternating Series: In mathematics, an alternating series is one in which the term...
The simplest way to analyze convergence is to see whether the sequence is bounded or not. If the sequence is not bounded, then it's definitely divergent. However, this does not imply that every bounded sequence is convergent. The question of when does a sequence converge (in the case of ...