Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy lim (7,4)→(0,0) 2x² + y² by approaching along: (i) the x-axis, (ii) the y-axis, (iii) the y = x, (iv) the y = 8x, (v) the y = x², (vi) the y = x°. (c) What conclusion can you draw from your answers to parts (b) (i)-(vi).

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