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Prove a form of l'Hopital's rule stating that

$\lim_{x\rightarrow \infty}\frac{f(x)}{g(x)}$

is equal to the limit of f'/g'

f'/g'

at infinity. Hint: change to some new variable

such that $x\rightarrow \infty$ corresponds to $u\rightarrow 0$ .

Solutions for chapter 3

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