# sept1609 - for this criterion are satisFed !) s (-1) k r k...

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Math 1502 D, September 16 2009 1 Georgia Tech School of Mathematics Math 1502 Calculus II, Section D Quiz # 4 September 16, 2009 First Name : --------------------------------------------- Last Name : ------------------------------------------------- 1. Determine whether the following series converge (Indicate which criterion is used) s k k (1 . 5) k 2 2. Indicate whether the following series is absolutely convergent or condi- tionally convergent. (Indicate which criterion is used and check carefully that the conditions

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Unformatted text preview: for this criterion are satisFed !) s (-1) k r k ( k + 1) = Math 1502 D, September 16 2009 2 3. Find the interval of convergence of s k =1 ln k 5 k/ 2 ( x-1) k 4. Give the power series representation of f ( x ) = (1-x 2 )-2 (Hint : compute f from the derivative of the harmonic series) f ( x ) = 5. Give the power series representation of (Hint : use the power series expansion of arctan t ) i x arctan t t dt...
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## This note was uploaded on 11/30/2009 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Institute of Technology.

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sept1609 - for this criterion are satisFed !) s (-1) k r k...

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