document.write( "Question 852655: what is the limit of [-4(x-5)(x+2)]/[-x(x+2)] as x approaches to infinity. \n" ); document.write( "

Algebra.Com's Answer #513572 by Edwin McCravy(20056) $\"\"$ $\"About$

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what is the limit of [-4(x-5)(x+2)]/[-x(x+2)] that x approaches to infinity.
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document.write( "Cancel the negative signs.  That makes me wonder\r\n" );
document.write( "if you copied it right.  Since you're taking \r\n" );
document.write( "calculus, it seems odd that your teacher would be\r\n" );
document.write( "testing you on something so elementary as to whether \r\n" );
document.write( "you know that a negative divided by a negative is a\r\n" );
document.write( "positive. But let's cancel them to get rid of them:\r\n" );
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document.write( "Now we need to multiply all that out to remove the\r\n" );
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document.write( "Now the highest power of x that appears in numerator\r\n" );
document.write( "or denominator is is x², so we divide every term in\r\n" );
document.write( "the numerator and denominator by x²:\r\n" );
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document.write( "and simplify\r\n" );
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document.write( "Now we know that  fo any constant k,\r\n" );
document.write( "and any positive integer n, so each of the fraction terms,\r\n" );
document.write( ",, in the numerator and  in\r\n" );
document.write( "the denominator all approach 0 as x approaches infinity, so\r\n" );
document.write( "we have:\r\n" );
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document.write( "(4-0-0)/(1) = 4\r\n" );
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document.write( "Answer: 4\r\n" );
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document.write( "Edwin

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