document.write( "Question 886062: Give an example of a limit of a rational function where the limit at -1 exists, but the rational function is undefined at -1. (I have spent half of the day on this question and I cannot figure it out.) Thank you. \n" ); document.write( "

Algebra.Com's Answer #535754 by rothauserc(4718) $\"\"$ $\"About$

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consider the rational function f(x) = -x / (x+1)
\n" ); document.write( "the limit of f(x) approaches -1 as x approaches infinity yet
\n" ); document.write( "the function is undefined at x = -1 since the denominator is 0 at x = -1
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