document.write( "Question 1165554: lim (x-> -inf) (x^2+4^-x)/(x^2-4^x) \n" ); document.write( "

Algebra.Com's Answer #852157 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "lim (x-> -inf) (x^2+4^-x)/(x^2-4^x)
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document.write( "To answer this question, you should apply your knowledge of Calculus.\r\n" );
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document.write( "The Calculus says that in the numerator, when  x --> ,  the term   dominates \r\n" );
document.write( "and goes to infinity much fster than  does.\r\n" );
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document.write( "In the denominator,  when  x --> ,  the term    dominates comparing with  .\r\n" );
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document.write( "Therefore, in whole, as x goes to  ,  the given function behaves as  .\r\n" );
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document.write( "When  x --> ,  the numerator of this reduced fraction goes to infinity much faster than the denominator.\r\n" );
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document.write( "It gives the ANSWER:  the given function goes to   as  x --> .\r\n" );
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