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Question Number 144744 by mondlihk last updated on 28/Jun/21

Answered by Olaf_Thorendsen last updated on 28/Jun/21

lim_((x,y)→(0,0)) ((x−1)/(y−1)) = lim_(x→0)  ((x−1)/(2x−1)) = 1

$$\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\frac{{x}−\mathrm{1}}{{y}−\mathrm{1}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}−\mathrm{1}}{\mathrm{2}{x}−\mathrm{1}}\:=\:\mathrm{1} \\ $$

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