$\lim_{x\to\infty}\left(1+\frac{1}{x}\right)^{2x}$
$\lim_{x\to\infty}\left(1+\frac{1}{2x}\right)^x$
$\lim_{x\to\infty}\left(\frac{x}{x+1}\right)^x$
$\lim_{x\to\infty}\left(2xe^{\frac{1}{x}}-2x\right)$
$\lim_{x\to\infty}\left(\frac{7x^2}{x-x^3}\right)$
$\lim_{x\to\infty}\left(\frac{x+x^2}{1-2x^2}\right)$
$\lim_{y\to\infty}\left(\frac{2y^2-3y+5}{y^2-5y+2}\right)$
The sum rule is a method to find the derivative of a function that is the sum of two or more functions.
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