How do you evaluate the limit $x^2/(1-x^2)$ as x approaches $oo$ ?

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Answer 1 · 2017-02-27T21:25:27

$-1$

$lim_(x to oo) x^2/(1-x^2)$

$= lim_(x to oo) 1/(1/x^2-1)$

$= 1/((lim_(x to oo) 1/x^2)-1)$

$= -1$

How do you evaluate the limit x^2/(1-x^2)x^2/(1-x^2) as x approaches oooo?