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# Section 8.2: Infinite Series - PowerPoint PPT Presentation

Section 8.2: Infinite Series. Zeno’s Paradox. You can’t actually get anywhere because you always have to cover half the remaining distance! You have to do half, then half that.. etc. Can you add infinitely many numbers ??. Informal Definition A series is sequence added up.

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Section 8.2: Infinite Series

You can’t actually get anywhere because you always have to cover half the remaining distance!

You have to do half, then half that.. etc.

Can you add infinitely many numbers ??

A series is sequence added up.

A series converges

if the sequence of partial sums converges.

is a geometric series.

Diverges if

Convergesto if

If and only if

Use Partial Fractions