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1 - cos( VX 2+ yz 2+ yz if (x, y) = (0,0) X Given the piecewise function: h(x,y) = if (x, y) = (0,0)

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1 - cos( VX 2+ yz 2+ yz if (x, y) = (0,0) X Given the piecewise function: h(x,y) = if (x, y) = (0,0) a) find: lim h ( x , y ) . (X, y) ->(0,0) b) Where is h continuous? Explain.x'y - 2y3 x+ yz if (x, y) * (0,0) Given the piecewise function: f(x,y) = 0 if (x, y) = (0,0) a) Show that: lim f(x, y) does not exist. (x, y) + (0,0) b) Find: fy (0, 0). c) Where is f continuous? Where is f differentiable? Explain

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