Evaluate the following limits. lim_{(x,y)rightarrow(2,-1)}(xy^8-3x^2y^3)

Evaluate the following limits. lim_{(x,y)rightarrow(2,-1)}(xy^8-3x^2y^3)

Question
Limits and continuity
asked 2020-11-01
Evaluate the following limits.
\(\lim_{(x,y)\rightarrow(2,-1)}(xy^8-3x^2y^3)\)

Answers (1)

2020-11-02
We have to evaluate the limit of the given function:
\(\lim_{(x,y)\rightarrow(2,-1)}(xy^8-3x^2y^3)\)
Solve:
\(\lim_{(x,y)\rightarrow(2,-1)}(xy^8-3x^2y^3)\)
\(\Rightarrow(2\times(-1)^8-3(2)^2(-1)^3)\)
\(\Rightarrow(2-(-12))\)
\(\Rightarrow14\)
\(\because\lim_{(x,y)\rightarrow(2,-1)}(xy^8-3x^2y^3)=14\)
0

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