document.write( "Question 1097659: f(x)={x+2 if x<-2
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Algebra.Com's Answer #712076 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This is the graph:\r\n" );
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document.write( "Notice that f(x) has no value at x = -2.\r\n" );
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document.write( "1. \"matrix%282%2C2%2Clim%2C%22f%28x%29%22%2C%22x-%3E-2%22%5E%22-%22%2C%22%22%29\"\r\n" );
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document.write( "This asks \"What is the y-value of the point the graph is\r\n" );
document.write( "approaching from the LEFT as x gets closer and closer to where x\r\n" );
document.write( "is -2?\"  Although the graph does not get to the point (-2,0), it\r\n" );
document.write( "nevertheless does APPROACH that point from the LEFT side.  Since\r\n" );
document.write( "the y-coordinate of the point that the curve approaches from the\r\n" );
document.write( "left is 0, that is the limit from the left.  Remember it only\r\n" );
document.write( "APPROACHES the point (-2,0), so it only APPROACHES its limit.\r\n" );
document.write( "it does not have to \"get there\" in order to approach it. So\r\n" );
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document.write( "2. \"matrix%282%2C2%2Clim%2C%22f%28x%29%22%2C%22x-%3E-2%22%5E%22%2B%22%2C%22%22%29\"\r\n" );
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document.write( "This asks \"What is the y-value of the point the graph is\r\n" );
document.write( "approaching from the RIGHT as x gets closer and closer to where x\r\n" );
document.write( "is 2?\"  Although the graph does not get to the point (-2,2), it\r\n" );
document.write( "nevertheless does APPROACH that point from the RIGHT side.  Since\r\n" );
document.write( "the y-coordinate of the point that the curve approaches from the\r\n" );
document.write( "left is 2, that is the limit from the RIGHT.  Remember it only\r\n" );
document.write( "APPROACHES the point (-2,2), so it only APPROACHES its limit.\r\n" );
document.write( "it does not have to \"get there\" in order to approach it. So\r\n" );
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document.write( "3. \"matrix%282%2C2%2Clim%2C%22f%28x%29%22%2C%22x-%3E-2%22%2C%22%22%29\"\r\n" );
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document.write( "Notice that there is no + or - above the -2.  That asks what is the \r\n" );
document.write( "y-coordinate of the ONE point that the graph approaches whether \r\n" );
document.write( "from the left or right?  Since there is no ONE value that the \r\n" );
document.write( "graph approaches from BOTH sides, because the answers to part\r\n" );
document.write( "1 and part 2 are different, this is undefined, so\r\n" );
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document.write( "Edwin
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