Question: . Consider the following function. xy f(x, y) = x + y 0 (x, y) = (0,0) (x, y) = (0,0) (a) Compute lim

. Consider the following function. xy f(x, y) = x + y

. Consider the following function. xy f(x, y) = x + y 0 (x, y) = (0,0) (x, y) = (0,0) (a) Compute lim f(x,y) along the path c(t) = (0, t). (x,y)(0,0) (b) Compute lim f(x, y) along the path c(t) = (t, t). (x,y) (0,0) (c) The choice of the paths c and c is mysterious. Something about the formula for f(x, y) suggested that these paths would yield different limits. Brielfy describe what properties of the formula for f(x, y) suggest the choice of the paths c and c. C2.

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