document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219498>Question 219498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the answer of the following problem?\r<BR>\n" );
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document.write( "2 + (3/(2+(3/(2+(3/(2+..).))))) = \r<BR>\n" );
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document.write( "Thank you for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165057 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=165057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = 2+\frac{3}{2+\frac{3}{2+...}}\">\r<BR>\n" );
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document.write( "Take note how the bottom portion of the fraction is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2+\frac{3}{2+...}\"> which is equal to 'y' (continue it out and you'll see it). I.e. the same expression is nested inside the larger expression. \r<BR>\n" );
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document.write( "This means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = 2+\frac{3}{2+\frac{3}{2+...}}=2+\frac{3}{y}\">\r<BR>\n" );
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document.write( "Or in short\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y=2+\frac{3}{y}\">\r<BR>\n" );
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document.write( "Now just solve for 'y' to find the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2+\frac{3}{2+\frac{3}{2+...}}\">\r<BR>\n" );
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document.write( "Note: you will get two solutions, but you're only going to focus on the positive solution. </SPAN>\n" );
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