Question Number 187730 by otchereabdullai last updated on 20/Feb/23
$$\:{Evaluate}\: \\ $$$${lim}\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)\:\frac{{x}^{\mathrm{2}} \left({y}−\mathrm{1}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$
Answered by mr W last updated on 21/Feb/23
$$\underset{\left({x},{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}}\frac{{x}^{\mathrm{2}} \left({y}−\mathrm{1}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} }=\frac{\mathrm{0}^{\mathrm{2}} \left(\mathrm{0}−\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{0}^{\mathrm{2}} +\left(\mathrm{0}−\mathrm{1}\right)^{\mathrm{2}} }=\frac{\mathrm{0}}{\mathrm{1}}=\mathrm{0} \\ $$
Commented by otchereabdullai last updated on 21/Feb/23
$${thank}\:{you}\:{my}\:{supper}\:{prof}\:{W} \\ $$