determine whether the sequence converges or diverges for An= (n)^1/2 - (n^2-1)^1/2
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Originally Posted by twilightstr determine whether the sequence converges or diverges for An= (n)^1/2 - (n^2-1)^1/2 multiply the nth term by ... $\displaystyle \frac{n^{\frac{1}{2}} + (n^2-1)^{\frac{1}{2}}}{n^{\frac{1}{2}} + (n^2-1)^{\frac{1}{2}}} $ ... simplify, then determine the limit of the result as $\displaystyle n \to \infty$
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