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Exercise

$\lim_{x\to\infty}\left(\frac{x}{\left(1.001\right)^x}\right)$

Step-by-step Solution

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Because polynomial functions ($x$) grow asymptotically slower than exponential functions ($1.001^x$), we can say that the expression $\lim_{x\to\infty }\left(\frac{x}{1.001^x}\right)$ tends to zero as $x$ goes to infinity

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