A Critical Study on Sequential Limit of a Sequence |

ABSTRACT:

Limits can be defined in any metricor topological space, but are usually firstencountered in the real numbers. the limit of the sequence if the following conditionholds: For each real number , there exists a naturalnumber such that, for every natural number , we have . In other words, for every measure of closeness , the sequence's terms areeventually that close to the limit. The sequence is said to converge to or tend to the limit , written or . If a sequence converges to some limit, then it is convergent; otherwise it is divergent.