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Home » Math Homework Help » Algebra Homework Help » Series of Positive Terms
Series of Positive Terms
We shall now onwards be discussing, a special type of series, viz. positive terms series.



for which un > 0, ∀ nϵN is known as a positive terms series (or series of positive terms).

We shall now state a very simple but most important result regarding positive terms series.

Theorem: A series   of positive terms either converges or diverges to but never oscillates.

Remarks 1:
If a series Σun of positive terms is such that , then Σun is divergent and diverges to .

2. A series Σun, for which un > 0 ∀ nϵN, either converges to a finite limit or diverges to -∞.

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