document.write( "Question 1029969: f(x)= (2x^2-7)/x+2, prove with appropriate limit and work that a slant asymptote exists. \n" ); document.write( "
Algebra.Com's Answer #645003 by Edwin McCravy(20059)\"\" \"About 
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document.write( "\"f%28x%29=+%282x%5E2-7%29%2F%28x%2B2%5E%22%22%29\"\r\n" );
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document.write( "        2x-4\r\n" );
document.write( "x+2)2x²+0x-7\r\n" );
document.write( "    2x²+4x\r\n" );
document.write( "       -4x-7\r\n" );
document.write( "       -4x-8\r\n" );
document.write( "           1\r\n" );
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document.write( "So \"f%28x%29+=+2x-4%2B1%2F%28x%2B2%29\"\r\n" );
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document.write( "Our claim is that the slant asymptote is \r\n" );
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document.write( "g(x)=2x-4.\r\n" );
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document.write( "So we prove that the difference between \r\n" );
document.write( "f(x) and g(x)\r\n" );
document.write( "as x approaches ħinfinity is 0.\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
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document.write( "Similar for \r\n" );
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document.write( "Edwin

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