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Question-144783




Question Number 144783 by nonh1 last updated on 29/Jun/21
Commented by gsk2684 last updated on 29/Jun/21
lim_(x→0)  ((x^2 x^2 )/(x^2 x+(x−x)^2 ))  lim_(x→0)  (x^4 /x^3 )=0
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} \mathrm{x}+\left(\mathrm{x}−\mathrm{x}\right)^{\mathrm{2}} } \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{4}} }{\mathrm{x}^{\mathrm{3}} }=\mathrm{0} \\ $$

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