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The Most Basic Tool Used To Express Generating Functions In Closed Form Is The Closed Form Expression For The Geometric Series, Which Is An Expression Of The Form A+ar+ar2+-------+arn. It Can Either Be Terminated Or Extended Indefinitely. What Are The Restrictions For This Geometric Series?

Answer»

If a and r represents numbers, r must not equal1 in the finite case.In the INFINITE case the absolute value of r must be less than 1.These restrictions don't COME into play with GENERATING FUNCTIONS.

If a and r represents numbers, r must not equal1 in the finite case.In the infinite case the absolute value of r must be less than 1.These restrictions don't come into play with Generating functions.



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