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Limits to Infinity


Definition

The limit of a function $f(x)$ when x tends to infinity is the value that the function takes as the value of x grows indefinitely.

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Problems Solved

Find the limit $\lim_{x\to\infty}\left(2\right)$
Find the limit $\lim_{x\to\infty}\left(8^{x-3}\right)$
Find the limit $\lim_{x\to\infty}\left(\frac{2x+1}{4x^2}\right)$
Find the limit $\lim_{x\to+\infty}\left(\frac{x-1}{x+1}\right)^x$
Find the limit $\lim_{x\to\infty}\left(\frac{e^{-x}}{x}\right)$
Find the limit $\lim_{x\to\infty}x\left(\arctan e^x-\frac{\pi}{2}\right)$
Find the limit $\lim_{x\to\infty}\left(x^2+1\right)e^x$

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