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Series of Positive Terms

We shall now onwards be discussing, a special type of series, viz. positive terms series.

for which

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

for which

**u**is known as a positive terms series (or series of positive terms)._{n}> 0, ∀ nϵNWe 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.**If a series**

Remarks 1:Remarks 1:

**Σu**_{n}of positive terms is such that , then**Σu**_{n}is divergent and diverges to**∞**.**2.**A series**Σu**_{n}, for which**u**, either converges to a finite limit or diverges to_{n}> 0 ∀ nϵN**-∞**.**Services: -**Series of Positive Terms Homework | Series of Positive Terms Homework Help | Series of Positive Terms Homework Help Services | Live Series of Positive Terms Homework Help | Series of Positive Terms Homework Tutors | Online Series of Positive Terms Homework Help | Series of Positive Terms Tutors | Online Series of Positive Terms Tutors | Series of Positive Terms Homework Services | Series of Positive TermsSubmit Your Query ???

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