document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204215>Question 1204215</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If limt(e^(ln(ax)) × tan(2a/x))= 8 ' find value of a ?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840322 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-infinity%2C%28e%5E%28ln%28ax%29%29%2Atan%28%282a%29%2Fx%29%29%29=+8 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-infinity%2C%28e%5E%28ln%28ax%29%29%2Atan%28%282a%29%2Fx%29%29%29=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "manipulate left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-infinity%2C%28e%5E%28ln%28ax%29%29%2Atan%28%282a%29%2Fx%29%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-infinity%2C%28e%5E%28ln%28ax%29%29%2Atan%28%282a%29%2Fx%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln%28ax%29%29=ax ALIGN=MIDDLE  ALT=\"e%5E%28ln%28ax%29%29=ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-infinity%2C%28ax%2A+tan%28%282a%29%2Fx%29%29%29 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-infinity%2C%28ax%2A+tan%28%282a%29%2Fx%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-infinity%2C+ax%2A+tan%28%282a%29%2Fx%29%29=++2a%5E2 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-infinity%2C+ax%2A+tan%28%282a%29%2Fx%29%29=++2a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "equal it to right side\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%5E2=8 ALIGN=MIDDLE  ALT=\"2a%5E2=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=4 ALIGN=MIDDLE  ALT=\"a%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-2 ALIGN=MIDDLE  ALT=\"a=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>not a solution\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3E-infinity%2C%28e%5E%28ln%282x%29%29%2Atan%28%282%2A2%29%2Fx%29%29%29=+8 ALIGN=MIDDLE  ALT=\"lim%28x-%3E-infinity%2C%28e%5E%28ln%282x%29%29%2Atan%28%282%2A2%29%2Fx%29%29%29=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=+8 ALIGN=MIDDLE  ALT=\"8=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lim%28x-%3Einfinity%2C%28e%5E%28ln%282x%29%29%2Atan%28%282%2A2%29%2Fx%29%29%29=+8 ALIGN=MIDDLE  ALT=\"lim%28x-%3Einfinity%2C%28e%5E%28ln%282x%29%29%2Atan%28%282%2A2%29%2Fx%29%29%29=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=+8 ALIGN=MIDDLE  ALT=\"8=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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