\lim _{\left(x,\:y\right)\to \left(0,\:1\right)}\left(\frac{x^4-\left(y-1\right)^4}{x^2+\left(y-1\right)^2}\right)
You asked:
Evaluate the expression: \(\lim_{\left(x, y\right) \to \left(0, 1\right)}{\frac{{x}^{4} - {\left( y - 1 \right)}^{4}}{{x}^{2} + {\left( y - 1 \right)}^{2}}}\)
MathBot Answer:
\[\lim_{\left(x, y\right) \to \left(0, 1\right)}{\frac{{x}^{4} - {\left( y - 1 \right)}^{4}}{{x}^{2} + {\left( y - 1 \right)}^{2}}} = 0\]