If infinity sigma n=1 An be a convergent series then limit x-> infinity An is equal to:a) 0 b) 1 c) infinity d)None of these

1 Answer | Add Yours

embizze's profile pic

Posted on

If `sum_(n=1)^(oo)A_n` is a convergent series, then `lim_(n->oo)A_n=?` :

The answer is (a) zero

If a series is convergent, then the limit of the underlying sequence must be zero. Note that the converse is true; a sequence whose nth term tends to zero need not have a convergent series.

We’ve answered 324,124 questions. We can answer yours, too.

Ask a question