Question

Write the comparison test?

Answer 1

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In mathematics, the comparison test, sometimes called the direct comparison test to distinguish it from similar related tests, provides a way of deducing the convergence or divergence of an infinite series or an improper integral.

The Comparison Test

Require that all a[n] and b[n] are positive. If b[n] converges, and a[n]<=b[n] for all n, then a[n] also converges. If the sum of b[n] diverges, and a[n]>=b[n] for all n, then the sum of a[n] also diverges.

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Answer 2

AnsWer:-

The comparison test is a simple, common-sense rule: If you've got a series that's smaller than a convergent benchmark series, then your series must also converge. And if your series is larger than a divergent benchmark series, then your series must also diverge.