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power series

GATE CSE & IT · Combinatorics · 2005-2005

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Rosen — Discrete Mathematics and Its Applications

Discrete structures, counting, relations, graph theory

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2005 PYQ

Let $$G\left( x \right) = 1/\left( {1 - x} \right)2 = \sum\limits_{i = 0}^\infty {g\left( i \right)\,{x^1}} \,\,\,,$$ where $$\left| x \right| < 1$$ What is $$g(i)$$?

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