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Unformatted text preview: Form Converges if. .. Diverges if. .. Sum of Series? Geometric Series X n =1 a r n1 = X n =0 a r n  r  < 1  r  1 a 1r pSeries X n =1 1 n p p > 1 p 1 n/a Definitions Absolute convergence. A series a n is called absolutely convergent if the series  a n  converges by one of the above tests. Conditional convergence. A series a n is called conditionally convergent if the series a n converges by one of the above tests, but the series  a n  diverges. Note that if a series is absolutely convergent, then it is also conditionally convergent, but not the other way around....
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This note was uploaded on 05/26/2011 for the course MATH 126 taught by Professor Mikulevicius during the Spring '07 term at USC.
 Spring '07
 Mikulevicius
 Math, Calculus

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