document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178245>Question 178245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the limit if each indeterminate quotient: Hi! I just started calculus and these are the only questions I had trouble with. \r<BR>\n" );
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document.write( "j) lim     (2-square root over (x+4))/x<BR>\n" );
document.write( "    x=0   \r<BR>\n" );
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document.write( "k) lim (square root over x)-2/x-4<BR>\n" );
document.write( "   x=4 \r<BR>\n" );
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document.write( "n) lim (2-(square root over x))/(3-(square root over 2x))+1<BR>\n" );
document.write( "  x=4\r<BR>\n" );
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document.write( "o) lim 2^(2x)-2^x/2^x-1<BR>\n" );
document.write( "   x=0\r<BR>\n" );
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document.write( "P.S. All the limit x= number (below where it says lim), there should be an arrow instead of the equal's sign! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133211 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=133211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lim (2-square root over (x+4))/x<BR>\n" );
document.write( "x=0 <BR>\n" );
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document.write( "What does this mean?<BR>\n" );
document.write( "Is it lim(as x goes to zero) of [sqrt(x+4)/x] ?<BR>\n" );
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document.write( "If that is what you mean the limit does not exist.<BR>\n" );
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document.write( "But if you mean Lim(as x goes to zero ) of sqrt[(x+4)/x)]<BR>\n" );
document.write( "The answer is lim(etc.)sqrt(1+4/x) = 1<BR>\n" );
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document.write( "Your other postings are also difficult to interpret.<BR>\n" );
document.write( "Using parentheses usually makes postings more comprehensible.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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