document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133186>Question 1133186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if limx→0 f(x) exists. Is the function continuous at x = 0?\r<BR>\n" );
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document.write( "f(x) = <BR>\n" );
document.write( "−x + 1 if x ≤ 0<BR>\n" );
document.write( "2x + 3 if x > 0\r<BR>\n" );
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document.write( "(it is a piecewise function) </SPAN>\n" );
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document.write( "The limit as x approaches 0 from the left is 0+1=1; the limit as x approaches 0 from the right is 2(0)+3 = 3.<br><BR>\n" );
document.write( "Since the limits approaching 0 from opposite sides are different, the limit as x approaches 0 does not exist, and the function is not continuous. </SPAN>\n" );
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