Solutions Algebra

Find the indicated limits using {(x,y)→ (a,b)} lim f(x,y)=5, {(x,y)→ (a,b)} lim g(x,y)=3

Question: Find the indicated limits using

lim⁡(x,y)→(a,b) f(x,y)=5\underset{\left( x,y \right)\to \left( a,b \right)}{\mathop{\lim }}\,f\left( x,y \right)=5, lim⁡(x,y)→(a,b) g(x,y)=3\underset{\left( x,y \right)\to \left( a,b \right)}{\mathop{\lim }}\,g\left( x,y \right)=3

lim⁡(x,y)→(a,b) [4f(x,y)g(x,y)]\underset{\left( x,y \right)\to \left( a,b \right)}{\mathop{\lim }}\,\left[ \frac{4f\left( x,y \right)}{g\left( x,y \right)} \right]

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