$\lim_{x\to\infty}\left(\frac{7x+8}{4x+3}\right)$
$\lim_{x\to\infty}\left(\frac{e^x}{x^2}\right)$
$\lim_{x\to\infty}\left(\frac{ln\left(x\right)}{\sqrt{x}}\right)$
$\lim_{x\to-\infty}\left(x^3e^x\right)$
$\lim_{x\to\infty}\left(xsin\left(\frac{\pi}{x}\right)\right)$
$\lim_{x\to\infty}\left(x^2e^{-x}\right)$
$\lim_{x\to infinity}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$
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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