Examine the continuity of the function at (0,0)
xy3
f(x,y) = {x2 + y6)(x, y) not equal to(0,0)
0,
(x, y) = (0,0)
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dont know but if you mark brainlist than I will give you your answer
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Let f(x,y)=xy3x2+y6 if (x,y)≠(0,0) and f(0,0)=0. Is this function continuous at (x,y)=(0,0)?
I believe that it is, because the function appears to be approaching 0 as (x,y)→(0,0), and the hole is filled there, but I'm not sure how to prove that the limit is 0.
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