- #1
oahsen
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Homework Statement
Let
f(x, y) =((x^2)*y)/(x^4 + y^2) if (x, y) != (0, 0) ,
f(x,y) = 0 if (x, y) = (0, 0) .
a) Is f continuous at (0, 0)? Prove your statement.
b) Show that
-1/2 ≤ f(x, y) ≤1/2
for all (x, y).
I have used the two path test to show that it has not limit at 0,0 hence it is not continuous there. however, ı have no idea what I should do for the b part?Is there a algebratic way to show it or should we take differential etc.?