Well I'm going through an introductory calculus book and right now I'm on the section of horizontal asymptotes.(adsbygoogle = window.adsbygoogle || []).push({});

Currently I'm stubbed on this:

y = (x^2 - 1) / (x^2 + 1)

I take the limit of the function as x increases or decreases without bound and come up with y = 1 being the horizontal asymptote. No problem so far.

However, the book sketches it so that the curve is always above the asymptote for both + and - infinite.

The only problem is that if you substitute values for both sides, won't it ALWAYS be under the asymptote (since its a fraction less than one)? There will always be a value of 2 more on the denominator than the numerator.

So, am I right and the book wrong or what is what ;)

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# Horizontal asymptote question

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