For each of the following functions, find the maximal domain of f, prove that the limit of f exists as (x, y) †’ (a, b), and find the value of that limit. (You can prove that the limit exists without using ε's and δs - see Example 9.17.)
a)

b)

c)

d)

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f(x, y) = (T, x rx, y)-(ys inx tan y, x2 + y2-xy), f(x, y) = (ysin r'tan x,x2 + y2-xy), (a, b) = (0,1) (a, b)-(0, 1) f(x, y)-(r2-1下+y:2y-2y+22), (a,b) = (1,1) (yn+T' ), (a, b) = (1,1) 2 + y2-2x-2y + 2