document.write( "Question 206752: Someone please please please help me find the limits?\r
\n" ); document.write( "\n" ); document.write( "I did my best to describe how the graph looks like below:\r
\n" ); document.write( "\n" ); document.write( "There is a point that starts at (-1, 0) and it goes down to the south west side for negative infinity\r
\n" ); document.write( "\n" ); document.write( "There is a point that has a hole at (-1, 1) and this line goes up to (0, 3). \r
\n" ); document.write( "\n" ); document.write( "There is a line that begins at (0, 3) that goes down and reaches 2, since there is an asymptote at x=2, it follows the x=2 asymptote down to negative infinity. \r
\n" ); document.write( "\n" ); document.write( "Finally there is a line that goes up to positive infinity following up the x=2 asymptote and goes to positive infinity following the x-axis. \r
\n" ); document.write( "\n" ); document.write( "Now please answer these questions:
\n" ); document.write( "a) lim x-->0^(+)
\n" ); document.write( "b) lim x-->0^(-)
\n" ); document.write( "c) lim x-->0
\n" ); document.write( "d) x-values where the function is discontinuous
\n" ); document.write( "e) x-values where the function is non-differentiable
\n" ); document.write( "f) x-values where the slope of the tangent line is zero
\n" ); document.write( "g) x-values where the slope of the tangent is undefined
\n" ); document.write( "

Algebra.Com's Answer #156275 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
There is a point that starts at (-1, 0) and it goes down to the south west side for negative infinity
\n" ); document.write( "There is a point that has a hole at (-1, 1) and this line goes up to (0, 3).
\n" ); document.write( "There is a line that begins at (0, 3) that goes down and reaches 2, since there is an asymptote at x=2, it follows the x=2 asymptote down to negative infinity.
\n" ); document.write( "Finally there is a line that goes up to positive infinity following up the x=2 asymptote and goes to positive infinity following the x-axis.
\n" ); document.write( "Now please answer these questions:
\n" ); document.write( "a) lim x-->0^(+) = 3
\n" ); document.write( "b) lim x-->0^(-) = 3
\n" ); document.write( "c) lim x-->0 0
\n" ); document.write( "d) x-values where the function is discontinuous: x=-1,x=2
\n" ); document.write( "e) x-values where the function is non-differentiable:x=-1,x=0,x=2
\n" ); document.write( "f) x-values where the slope of the tangent line is zero: don't see any
\n" ); document.write( "g) x-values where the slope of the tangent is undefined:x=-1,x=0,x=2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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