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Unformatted text preview: Geometric Series Do the series converge or diverge? If they converge, what do they converge to? 1. 1 1 1 1 1 1 1 1 4 4 4 1 4 i i i i = = = = =  2. 1 5 20 5 1 4 3 1 4 i i = = =  3. 1 5 4 i i = diverges because r > 1. 4. What is the Taylor series expansion for x e ? ! n x n x e n = = for all x . Rules for Exponents and Logs Simplify if possible using exponent and logarithmic identities. 1. ( 29 ( 29 ( 29 ln ln ln ab a b = + 2. a b a b e e e + = 3. ( 29 ln a b + cant not be reduced any further. 4. ( 29 3 ln 3ln x x = 5. ( 29 ln x e x =...
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 Spring '09
 LisaMarano
 Probability

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