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if-lim-x-x-f-x-and-lim-x-x-f-x-can-we-determine-lim-x-x-f-x-x-f-x-




Question Number 223082 by DarthMath last updated on 14/Jul/25
if lim_(x→+∞) x−f(x)=+∞ and lim_(x→+∞) x+f(x)=+∞  can we determine lim_(x→+∞) ((x−f(x))/(x+f(x)))
$${if}\:\underset{{x}\rightarrow+\infty} {{lim}x}−{f}\left({x}\right)=+\infty\:{and}\:\underset{{x}\rightarrow+\infty} {{lim}x}+{f}\left({x}\right)=+\infty \\ $$$${can}\:{we}\:{determine}\:\underset{{x}\rightarrow+\infty} {{lim}}\frac{{x}−{f}\left({x}\right)}{{x}+{f}\left({x}\right)} \\ $$$$ \\ $$

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