Evaluate the following limits. lim_{(x,y)rightarrow(1,-2)}frac{y^2+2xy}{y+2x}

Evaluate the following limits. lim_{(x,y)rightarrow(1,-2)}frac{y^2+2xy}{y+2x}

Question
Limits and continuity
asked 2021-03-04
Evaluate the following limits. \(\lim_{(x,y)\rightarrow(1,-2)}\frac{y^2+2xy}{y+2x}\)

Answers (1)

2021-03-05
The given expression \(\lim_{(x,y)\rightarrow(1,-2)}\frac{y^2+2xy}{y+2x}\)
Calculation
\(\lim_{(x,y)\rightarrow(1,-2)}\frac{y^2+2xy}{y+2x}=\lim_{(x,y)\rightarrow(1,-2)}\frac{y(y+2x)}{y+2x}\)
\(=\lim_{(x,y)\rightarrow(1,-2)}\)
\(=-2\)
0

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