document.write( "Question 825669: Graph the rational equation \"f%28x%29=%28%28x%5E2%29-25%29%2F%28x-5%29\"
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\n" ); document.write( "\n" ); document.write( "b. Use the graph to estimate the limit as x approaches 5.\r
\n" ); document.write( "\n" ); document.write( "c. What do you think is the correlation between a graph and a limit?
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Algebra.Com's Answer #497490 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Graph the rational equation \"%22f%28x%29%22\"\"%22%22=%22%22\"\"%28x%5E2-25%29%2F%28x-5%29\"\r
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\n" ); document.write( "\n" ); document.write( "a. What do you notice about the graph at x = 5?
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document.write( "The equation is undefined at x=5, as \"cross%280%2F0%29\" is not defined.\r\n" );
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document.write( "\"cross%28%22f%285%29%22=%285%5E2-25%29%2F%285-5%29=%2825-25%29%2F%285-5%29=0%2F0%29\"\r\n" );
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document.write( "That's why there is a hole in the graph, indicated by the\r\n" );
document.write( "open circle.\r\n" );
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\n" ); document.write( "b. Use the graph to estimate the limit as x approaches 5.
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document.write( "We can see that as x approaches 5 the value of y approaches 10, and we\r\n" );
document.write( "write \"matrix%282%2C1%2Clim%2C%22x-%3E5%22%29\"\"%28%28x%5E2-25%29%2F%28x-5%29%29\"\"%22%22=%22%22\"\"10\". \r\n" );
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\n" ); document.write( "c. What do you think is the correlation between a graph and a limit?
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document.write( "That's a very vague question.  I'm guessing that what it's asking is that for\r\n" );
document.write( "the graph of f(x) to be continuous at x=a, this must be true\r\n" );
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document.write( "\"matrix%282%2C1%2Clim%2C%22x-%3Ea%22%29\"\"%28%22f%28x%29%22%29\"\"%22%22=%22%22\"\"%22f%28a%29%22\".\r\n" );
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document.write( "Edwin
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