Math 1920, Prelim I Practice Problems1. Suppose thatf(x, y) is a function defined and continuous everywhere in the planeexcept at (0,0).The figure shows some of the distinct level curves as solid circlestangent to thex-axis at the origin. Suppose further that limy→0f(0, y) = 0 = limx→0f(x,0).Doeslim(x,y)→(0,0)f(x, y) exist? Does limx→0f(x, kx) = 0 for allk?f(x,y) = 1yx2. Is there a non-zero value of the number
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