Question

Use limit laws and continuity properties to evaluate the limit. \lim_{(x,y) \rightarrow (4,-2)}x\sqrt[3]{y^{3}+2x}

Composite functions
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asked 2021-05-19
Use limit laws and continuity properties to evaluate the limit.
\(\displaystyle\lim_{{{\left({x},{y}\right)}\rightarrow{\left({4},-{2}\right)}}}{x}\sqrt{{{3}}}{\left\lbrace{y}^{{{3}}}+{2}{x}\right\rbrace}\)

Answers (1)

2021-05-20

\(\displaystyle\lim_{{{\left({x},{y}\right)}\rightarrow{\left({4},-{2}\right)}}},{x}\sqrt{{{3}}}{\left\lbrace{y}^{{{3}}}+{2}{x}\right\rbrace}\)
evaluate the limit
\(\displaystyle={\left(-{2}\right)}\cdot{{\lbrace}}\sqrt{{{3}}}{\left\lbrace{\left(-{2}\right)}^{{{3}}}+{2}\dot{{\lbrace}}{4}\right\rbrace}\)
Simplify
\(=0\)

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