document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152834>Question 1152834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the given piecewise function is differentiable at the origin, using the limit as h approaches 0 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2Btan%28x%29 ALIGN=MIDDLE  ALT=\"8x%2Btan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when x is greater than or equal to 0, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2 ALIGN=MIDDLE  ALT=\"8x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > when x is less than 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774934 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The limit from the left is 0.\r<BR>\n" );
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document.write( "The limit from the right is 8 + 1 = 9.\r<BR>\n" );
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document.write( "The limits are different, so the given piecewise function is NOT differentiable at the origin.\r<BR>\n" );
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