document.write( "Question 1163980: lim as x approaches 9 (9-x/sqrtx-3) answer to this question is -6 but i got 6 could u explain me the apprach \n" ); document.write( "
Algebra.Com's Answer #788241 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You need to review how to handle \"reversed differences\":\r\n" );
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document.write( "The shortcut is\r\n" );
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document.write( "\"%28A-B%29%2F%28B-A%29\"\"%22%22=%22%22\"\"-1\"\r\n" );
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document.write( "No doubt that is why you got the sign wrong.\r\n" );
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document.write( "Anyway, let's do your problem:\r\n" );
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document.write( "\"lim%5B%22x-%3E9%22%5D%28%289-x%29%2F%28sqrt%28x%29-3%29%29\"\r\n" );
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document.write( "Multiply the bottoms only:\r\n" );
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document.write( "\"lim%5B%22x-%3E9%22%5D%28%28%289-x%29%28sqrt%28x%29%2B3%29%29%2F%28x-9%29%29%29\"\r\n" );
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document.write( "Have you learned the shortcut trick about reversed differences? \r\n" );
document.write( "That is, that (x-9) cancels into (9-x) and goes -1 times?\r\n" );
document.write( "If you have, fine, then use it.  But if you haven't learned that\r\n" );
document.write( "trick, then write 9-x in descending order -x+9 then factor out -1 \r\n" );
document.write( "and get -1(x-9), like this:\r\n" );
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document.write( "Write 9-x in descending order as -x+9\r\n" );
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document.write( "\"lim%5B%22x-%3E9%22%5D%28%28%28-x%2B9%29%28sqrt%28x%29%2B3%29%29%2F%28x-9%29%29%29\"\r\n" );
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document.write( "Then factor -1 out of -x+9 which changes the signs:\r\n" );
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document.write( "\"lim%5B%22x-%3E9%22%5D%28%28%28-1%28x-9%29%29%28sqrt%28x%29%2B3%29%29%2F%28x-9%29%29\"\r\n" );
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document.write( "Now you can cancel the (x-9)'s\r\n" );
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document.write( "\"lim%5B%22x-%3E9%22%5D%28-1%29%28sqrt%28x%29%2B3%29\"\r\n" );
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document.write( "Now you can substitute 9 for x:\r\n" );
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document.write( "\"%28-1%29%28sqrt%289%29%2B3%29\"\r\n" );
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document.write( "\"%28-1%29%283%2B3%29\"\r\n" );
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document.write( "\"-6\"\r\n" );
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document.write( "Edwin
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