(a) (4 points) By considering the inequalities compute the limit lim (r,y) (0,0) lim (z,y) (0,0)...

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(a) (4 points) By considering the inequalities compute the limit lim (r,y) →(0,0) lim (z,y) →(0,0) or show that it does not exist. 0≤ x² + y² f(x, y) = or show that it does not exist. (b) (4 points) By considering the curves z = 0 and x = sin y, compute the limit x² sin² y lim (z.y) (0,0) 24+y4 ≤ 1, f(x, y) = lim (z,y) (0,0) x2 + y4 (a) (4 points) By considering the inequalities compute the limit lim (r,y) →(0,0) lim (z,y) →(0,0) or show that it does not exist. 0≤ x² + y² f(x, y) = or show that it does not exist. (b) (4 points) By considering the curves z = 0 and x = sin y, compute the limit x² sin² y lim (z.y) (0,0) 24+y4 ≤ 1, f(x, y) = lim (z,y) (0,0) x2 + y4