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What is a convergent series? what is a divergent series?.

User TraneHead
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1 Answer

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Answer:

Explanation:

A convergent series is a series whose partial sums tend to a specific number or a limit.

Example:
3+1+(1)/(3)+(1)/(9)+.~.~.

This is because a series is convergent if


-1 < r < 1

where r is the common ratio

and for the question above


r=(1)/(3)

A divergent series is a series whose partial sums do not approach a limit. Divergent series typically go to positive infinity, negative infinity, or don't approach a specific number.

Example:
4+12+36+108~.~.~...

This is a divergent series because the common ratio is;


r=(12)/(4) =3

Hope this helps! =)

If you have any queries please ask.

User Ajitesh
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