High School
1. Existence of limit (a) Determine whether the following limit exists. If yes, find the limit. If no, give a reasonable explanation * + 2y + 3xy lim (.)+(0,0) * + 3y (b) Determine whether the following limit exists. If yes, find the limit. If no, give a reasonable explanation zy2 lim (x,)+(0,0) 2.4 +y Page 2 (c) Determine whether the following function is continuous at (x,y) = (0,0). Give a reasonable explanation. Hint: Try applying the absolute value to f(x,y) and finding another function g(x,y) such that 0