document.write( "Question 1049862: let f(x)= $\"1%2F%281-x%29\"$ write down the maclaurin series expansion of f(x) \n" ); document.write( "

Algebra.Com's Answer #666328 by robertb(5830) $\"\"$ $\"About$

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By the uniqueness of the Taylor (Maclaurin) expansion of a function around x = 0 within its domain of convergence,
\n" ); document.write( "the Maclaurin expansion of $\"1%2F%281-x%29\"$ is\r
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\n" ); document.write( "\n" ); document.write( " $\"1+%2B+x+%2B+x%5E2+\"$ +...+ $\"x%5En\"$ +.....,\r
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\n" ); document.write( "\n" ); document.write( "for -1 < x < 1. \n" ); document.write( "

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