document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036422>Question 1036422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+system%28+%28x%5E2-1%29%2F%28x%5E2%2Bx-2%29%2C+if+x%3C+1%2C%0D%0A++++++++3%2C+if+x+=1%2C%0D%0A++++++++e%5E1-x%2C+if+1%3Cx%3C3%2C%0D%0A++++++++2x-c%2C+if+x%3E=3+%0D%0A++++++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. Find f(-1), f(1), f(2) and f(3).<BR>\n" );
document.write( "b. Find the following limits, if they exist:<BR>\n" );
document.write( "i) lim( x->1-, (f(x))<BR>\n" );
document.write( "ii) lim( x->1+, (f(x))<BR>\n" );
document.write( "iii) lim( x->1, (f(x))<BR>\n" );
document.write( "iv) lim( x->2-, (f(x))<BR>\n" );
document.write( "v) lim( x->2, (f(x))<BR>\n" );
document.write( "c. Is f continuous at x = 1?<BR>\n" );
document.write( "d. Find the value of c which makes f continuous at x = 3. <BR>\n" );
document.write( "Thankyou!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651123 by </B><A HREF=/tutors/aboutme.mpl?userid=Aldorozos><B>Aldorozos(172)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Aldorozos><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> F(-1) = 0<BR>\n" );
document.write( "F(1) doesn't exist since by replacing x with 1 we get 0/0 which is undefined<BR>\n" );
document.write( "f(2) = 3/4<BR>\n" );
document.write( "f(3) = 3 since <BR>\n" );
document.write( "i x>-1 = 3<BR>\n" );
document.write( "ii 2x-c assuming 1<x<3<BR>\n" );
document.write( "iii x =1 = f^1  - x<BR>\n" );
document.write( "iv = 3/4<BR>\n" );
document.write( "v = 3/4<BR>\n" );
document.write( "C is not continuous since 0/0 is not defined<BR>\n" );
document.write( "d 3*2 - C = 3 Therefore C = 3 (not sure) \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );