document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139917>Question 1139917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated limit, if it exists.(7 points) <BR>\n" );
document.write( "limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0\r<BR>\n" );
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document.write( " choices below<BR>\n" );
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document.write( "3<BR>\n" );
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document.write( "10<BR>\n" );
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document.write( "7<BR>\n" );
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document.write( "The limit does not exist.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760409 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your 3 equations are:\r<BR>\n" );
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document.write( "f(x) = 7 - x^2 when x < 0.\r<BR>\n" );
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document.write( "f(x) = 7 when x = 0.\r<BR>\n" );
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document.write( "f(x) = 10x + 7 when x > 0\r<BR>\n" );
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document.write( "as x approaches 0, 7 - x^2 approaches 7.\r<BR>\n" );
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document.write( "as x approaches 0, 10x + 7 approaches 7.\r<BR>\n" );
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document.write( "the limit as x approaches 0 is therefore 7.\r<BR>\n" );
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document.write( "it's the same value when you approaches it from the left (7 - x^2) as when you approach it from the right (10x + 7).\r<BR>\n" );
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document.write( "i'd go with 7.\r<BR>\n" );
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document.write( "you can probably see this graphically.\r<BR>\n" );
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document.write( "here's what i show.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/042601.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "all roads point to y = 7 as x approaches, or is at, 0.\r<BR>\n" );
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