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lim-x-1-y-2-x-2-y-2-




Question Number 165208 by Jamshidbek last updated on 27/Jan/22
lim_(x→1_(y→2) )  x^2 +y^2 =?
$$\underset{{x}\rightarrow\underset{\mathrm{y}\rightarrow\mathrm{2}} {\mathrm{1}}} {\mathrm{lim}}\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =? \\ $$
Answered by alephzero last updated on 27/Jan/22
lim_(x→1_(y→2) ) x^2 +y^2  = 1^2  + 2^2  = 1 + 4 = 5
$$\underset{\underset{{y}\rightarrow\mathrm{2}} {{x}\rightarrow\mathrm{1}}} {\mathrm{lim}}{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:=\:\mathrm{1}^{\mathrm{2}} \:+\:\mathrm{2}^{\mathrm{2}} \:=\:\mathrm{1}\:+\:\mathrm{4}\:=\:\mathrm{5} \\ $$

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