Answer the question.
-If 1 is substituted for $x$ in the rational expression $\frac { x - 1 } { x ^ { 2 } - 1 }$, the result is $\frac { 0 } { 0 }$. Mathematicians have been known to say "Any number divided by itself is 1 ." Does this mean that this expression is equal to 1 for $x = 1$ ? Explain why or why not.

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Quizplus · Accepted Answer

the expression is not equal to 1 for $x = 1$. When $x = 1$, the denominator becomes $1^2 - 1 = 0$, which means the expression is undefined. The result of $\frac {0} {0}$ does not have a specific value and cannot be simplified to 1. Therefore, the expression is not equal to 1 for $x = 1$.

Answer the Question xxx In the Rational Expression x−1x2−1\frac { x - 1 } { x ^ { 2 } - 1 }x2−1x−1​

Answer the Question $x$ In the Rational Expression $\frac { x - 1 } { x ^ { 2 } - 1 }$