document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199680>Question 199680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the x values so that the infinite series become finite.\r<BR>\n" );
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document.write( "(infinite)\r<BR>\n" );
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document.write( "(Sigma)  3(x-2)^(k-1)\r<BR>\n" );
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document.write( "(k=1)\r<BR>\n" );
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document.write( "Could you help me with this question? Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150060 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=150060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The series\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \displaystyle \sum_{k=1}^\infty a r^{k-1}\">\r<BR>\n" );
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document.write( "will converge if and only if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left|r\right|<1\">\r<BR>\n" );
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document.write( "So this means that you simply need to solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x-2%29%3C1 ALIGN=MIDDLE  ALT=\"abs%28x-2%29%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the set of x values (since in this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x-2 ALIGN=MIDDLE  ALT=\"r=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
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