document.write( "Question 1184396: Find the sum of the infinite series (1 + 2 + 3 + 4 + .... + r-1) divided by r! where r is from \"+2+to+inf+\"?
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Algebra.Com's Answer #814963 by ikleyn(52915)\"\" \"About 
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document.write( "The sum   1 + 2 + 3 + . . . + (r-1)  is  \"%28r%2A%28r-1%29%29%2F2\".\r\n" );
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document.write( "This sum divided by  r! is  \"%281%2F2%29%2A%281%2F%28r-2%29%21%29\".\r\n" );
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document.write( "So, the problem asks about this sum  \"%281%2F2%29%2Asum%281%2F%28r-2%29%21%2C2%2Cinfinity%29\".\r\n" );
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document.write( "It is the same as the expression  \"%281%2F2%29%2Asum%281%2Fr%21%2C0%2Cinfinity%29\".\r\n" );
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document.write( "The last expression value is  \"e%2F2\",  where  \"e\"  is the base of natural logarithms.\r\n" );
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document.write( "ANSWER.  The requested sum is equal to  \"e%2F2\" = \"2.71828%2F2\" = 1.35914  (rounded).\r\n" );
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