Question

Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...

Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not continuous?

Select the correct answer below:

A. Yes

B. No, because lim(x,y)→(−1,1)x−yx+y=−1 and f(0,0)=0.

C. No, because lim(x,y)→(−1,1)x−yx+y does not exist and f(0,0) does not exist.

D. No, because lim(x,y)→(0,0)x2−y2x2+y2=1 and f(0,0)=0.

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