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Suppose f(x, y) = x^(a)y^(b)/[x^(4) + y ^ (2)] is dened at any (x, y) = (0, 0), where a and b are constants. (1)
Suppose f(x, y) = x^(a)y^(b)/[x^(4) + y ^ (2)] is dened at any (x, y) = (0, 0), where a and b are constants.
(1) Show that if a = 4, b = 2, lim(x,y)(0,0) f(x, y) exists and nd the limit.
(2) Show that if a = 2, b = 2 lim(x,y)(0,0) f(x, y) does not exist
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