(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex] \lim_{y \to \infty} \frac {\sqrt{y+1}+\sqrt{y-1}}{y} [/tex]

2. Relevant equations

3. The attempt at a solution

By L'Hospital's Rule:

[tex] \lim_{y \to \infty} \frac {\sqrt{y+1}+\sqrt{y-1}}{y} = \lim_{y \to \infty} \frac {\frac{1}{2}(y+1)^{-1/2}+\frac{1}{2}(y-1)^{-1/2}}{1} [/tex]

which is just this:

[tex] \lim_{y \to \infty} \frac{1}{2}(y+1)^{-1/2}+\frac{1}{2}(y-1)^{-1/2} [/tex]

and the answer is suppose to be 0, is this because you are basically taking the reciprocal of infinity which is infinitely or arbitrarily close to 0?

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# Homework Help: Infinite limits using L'Hospital's Rule

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