say $\displaystyle \displaystyle a_n=(0.999)^{n^4}$, what is the limit as $\displaystyle n $ goes to $\displaystyle \infty$?
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Originally Posted by crossbone say $\displaystyle \displaystyle a_n=(0.999)^{n^4}$, what is the limit as $\displaystyle n $ goes to $\displaystyle \infty$? $\displaystyle \displaystyle\lim_{n\to\infty}\left(\frac{999}{100 0}\right)^{n^4}$ The denominator, bottom, will grow faster so the limit is 0
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