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2021-10-12

Evaluate the limit using continuity.

$\underset{(x,y)\to (1,2)}{lim}({x}^{2}+y)$

Margot Mill

Skilled2021-10-13Added 106 answers

The statement of continuity states that if f(x) is continuous, then $f\left(a\right)=\underset{x\to a}{lim}f\left(x\right)$ , where a is any constant value.

If, the function$\underset{(x,y)\to (1,2)}{lim}({x}^{2}+y)$ is continuous because when the value of x and y are substituted, the limit is defined; so, the values of limits can directly be substituted to obtain the value of the limit.

$\underset{(x,y)\to (1,2)}{lim}({x}^{2}+y)={1}^{2}+2$

$=1+2$

$=3$

If, the function

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Jeffrey Jordon

Expert2022-08-30Added 2605 answers

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

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