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Unformatted text preview: term carefully, because the general form for the term often does not work well. Analytic functions can even be multiplied, but you must treat the power series as polynomials, so lots of like terms must be combined. Its a mess. They can even be divided when the denominator isnt zero, but thats an even bigger mess. EXAMPLES. (1) X n =0 x n n ! ! = (2) X j =0 (1) j x 2 j (2 j )! = (3) For f ( z ) = X n =0 a n ( zx ) n , nd f (4) ( x ). (4) Rewrite the power series X n =2 n ( n1) a n x n2 as a power series whose generic or general term involves x n . THERE IS NO HOMEWORK FOR SECTION 5.1 BUT PLEASE MAKE SURE YOU REVIEW THAT MATERIAL....
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 Spring '08
 Fonken
 Differential Equations, Equations, Power Series

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