By considering different paths of approach, show that the following functions have no limit as (x,y)...

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By considering different paths of approach, show that the following functions have no limit as (x,y) → (0,0): (a) f(x, y)=- (b) f(x,y)= X x² + y² (c) f(x, y) = (d) f(x, y) = x-y x + y (c) f(x, y) = xy |xy| x² + y² At what points (x, y) in the plane are the following functions continuous? x + y (a) f(x,y)=sin(x + y) x-y By considering different paths of approach, show that the following functions have no limit as (x,y) → (0,0): (a) f(x, y)=- (b) f(x,y)= X x² + y² (c) f(x, y) = (d) f(x, y) = x-y x + y (c) f(x, y) = xy |xy| x² + y² At what points (x, y) in the plane are the following functions continuous? x + y (a) f(x,y)=sin(x + y) x-y

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Part 1 For a fx y xsqrtx 2 y 2 we can consider different paths of approach to 00 as follows Along the path y mx where m is any nonzero constant as x a... View the full answer