document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352111>Question 352111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Construct the Taylor polynomial of degree of 10 about x=0 for the function f(x)= e^x . If someone could pls help me out with this one. This is one of my finals :(  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251582 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=f(a)+f'(a)(x-a)+f''(a)(x-a)^2+f'''(a)(x-a)^3+...+f^(10)(a)(x-a)^10<BR>\n" );
document.write( "In this case <BR>\n" );
document.write( "f(x)=f'(x)=f''(x)=...=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E%2810%29%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"f%5E%2810%29%28x%29=e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0 ALIGN=MIDDLE  ALT=\"a=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then just substitute,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5E%28a%29%2Be%5E%28a%29%28x-a%29%2Be%5E%28a%29%28x-a%29%5E2%2Be%5E%28a%29%28x-a%29%5E3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >+...+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28a%29%28x-a%29%5E10 ALIGN=MIDDLE  ALT=\"e%5E%28a%29%28x-a%29%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=sum%28x%5Ei%2Ci=0%2C10%29 ALIGN=MIDDLE  ALT=\"f%28x%29=sum%28x%5Ei%2Ci=0%2C10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );