document.write( "Question 1030353: Use Calculus. For what value of a is the following equation true?\r
\n" ); document.write( "\n" ); document.write( "lim ((x+a)/(x-a))^x = e
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Algebra.Com's Answer #645228 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "That will be true if and only if the \r\n" );
document.write( "limit of the natural log is 1, so we\r\n" );
document.write( "reduce the problem to finding \"a\" if\r\n" );
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document.write( "Since \r\n" );
document.write( "therefore \r\n" );
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document.write( "Both numerator and denominator approach 0, so\r\n" );
document.write( "we can use L'Hopital's rule\r\n" );
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document.write( " = 1\r\n" );
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document.write( "which simplifes to\r\n" );
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document.write( " = 1\r\n" );
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document.write( "That limit is , so we have\r\n" );
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document.write( "Edwin

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