document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170590>Question 1170590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove the following limits using<BR>\n" );
document.write( "(i)The definition(ii) Corollary of Archimedean Property  (iii)Theorem 3.1.10<BR>\n" );
document.write( "(a) 𝐥𝐢𝐦(𝟐𝒏+𝟓)/(𝟔𝒏−𝟑)=𝟏/𝟑(b) 𝐥𝐢𝐦(𝒏^2 +𝟏)/(𝟐𝒏^𝟐)=𝟏/𝟐 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795538 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=795538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \lim_{x\right?}\">\r<BR>\n" );
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document.write( "And as for Theorem 3.1.10, I'll just go search through my shelf of every Calculus book every published and try to find a Theorem with that number that might apply to your question.\r<BR>\n" );
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document.write( "Let me give you a bit of sage advice regarding the study of mathematics in general: <b>Use your head for something besides a hat rack.</b>\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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