Question 166034
As x becomes very large (positive or negative), the function looks like,
{{{g(x)=x/x=1}}}
{{{y=1}}}
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.
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Graphical proof of the asymptote, showing the discontinuity at x=1.
{{{ graph( 300, 300, -100, 100, -2, 2, (x-5)/(x-1)) }}}