Lecture
Let two rows with positive members be given: and .
If, starting with some natural number N for all n > N, between the corresponding members of the two series, the inequality u n ≥ v n is established , and the series then the series also diverges.
If, starting with some natural number N, for all n > N, between the corresponding members of the two series, the inequality u n ≤ v n is established , and the series then the series also converges.
If there is a final limit non-zero then both rows and simultaneously converge and diverge at the same time. Such series are called equivalent .
Consider two rows used when comparing rows.
Comments
To leave a comment
Ranks
Terms: Ranks