document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127883>Question 127883</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780072867404/algebrahomeworkh>College Algebra with Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> First the problem explains the how series in caculus can be shown by the sigma sign form (such as on the main page of the series section on this site)\r<BR>\n" );
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document.write( "The problem is : Approximate e^-.5 using the first five terms of the series. Compare this approximation with your caculator evaluation of e^-.5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93746 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93746\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm presuming that the series to which you refer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex=sum%28%28x%5En%29%2Fn%21%2Cn=0%2Cinfinity%29 ALIGN=MIDDLE  ALT=\"e%5Ex=sum%28%28x%5En%29%2Fn%21%2Cn=0%2Cinfinity%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first 5 terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bx%2B%28x%5E2%2F2%21%29%2B%28x%5E3%2F3%21%29%2B%28x%5E4%2F4%21%29 ALIGN=MIDDLE  ALT=\"1%2Bx%2B%28x%5E2%2F2%21%29%2B%28x%5E3%2F3%21%29%2B%28x%5E4%2F4%21%29\"   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=1+%2B+%28-0.5%29+%2B+%280.25%2F2%29+%2B+%28-0.125%2F6%29+%2B+%280.0625%2F24%29 ALIGN=MIDDLE  ALT=\"1+%2B+%28-0.5%29+%2B+%280.25%2F2%29+%2B+%28-0.125%2F6%29+%2B+%280.0625%2F24%29\"   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=1+-+0.5+%2B+0.125+-+0.0208+%2B+0.0026+=+.6068 ALIGN=MIDDLE  ALT=\"1+-+0.5+%2B+0.125+-+0.0208+%2B+0.0026+=+.6068\"   DISABLED_style= \"max-width:90%; height:auto;\" > (roughly)\r<BR>\n" );
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document.write( "Calculator result: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6065 ALIGN=MIDDLE  ALT=\"0.6065\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Certainly close enough for government work. </SPAN>\n" );
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