document.write( "Question 1200138: Evaluate limit (as x approaches negative infinity) (10x-3)/(sqrt(5x^2-x^3-7x+1)) \n" ); document.write( "

Algebra.Com's Answer #834173 by ikleyn(52908) $\"\"$ $\"About$

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\n" ); document.write( "Evaluate limit (as x approaches negative infinity) (10x-3)/(sqrt(5x^2-x^3-7x+1))
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document.write( "As x approaches negative infinity, the numerator behaves as  -10*|x|,\r\n" );
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document.write( "while the denominator behaves as   = .\r\n" );
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document.write( "So the rational function behaves as   = ,\r\n" );
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document.write( "i.e. tends to zero, as x approaches minus infinity.\r\n" );
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document.write( "ANSWER.  The limit is 0 (zero).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Vertical lines in my post denote absolute value (a standard designation).\r
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