document.write( "Question 977051: Test the series 1/(1*2*3) + 3/(2*3*4) + 5/(3*4*5) + ... for convergence. \n" ); document.write( "
Algebra.Com's Answer #598785 by Edwin McCravy(20056)\"\" \"About 
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Test the series for convergence or divergence.
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document.write( "The nth term is \"%282n-1%29%2F%28n%28n%2B1%29%28n%2B2%29%29\"\r\n" );
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document.write( "The degree of the denominator is 2 more than the degree of the numerator,\r\n" );
document.write( "so we use the limit comparison test to the p-series with p=2,\r\n" );
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document.write( "which converges.\r\n" );
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document.write( "The degrees of numerator and denominator are the same,\r\n" );
document.write( "the leading coefficient of the numerator is 2 and the\r\n" );
document.write( "leading coefficient of the denominator is 1, so the\r\n" );
document.write( "limit is 2/1 or 2.  Therefore the series converges.\r\n" );
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document.write( "Actually it converges to 3/4, but that takes more work to\r\n" );
document.write( "discover that.\r\n" );
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document.write( "Edwin
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