Answer
Odd
Work Step by Step
We determine whether the given function is even or odd:
$h(x)=\displaystyle \frac{x}{x^{2}-1}$
$h(-x)=\frac{-x}{(-x)^{2}-1}=\frac{-x}{x^{2}-1}=-h(x)$
Thus, the function is odd.
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