Let f(x, y) = and let 8x2 + 9y2 L = lim(#,y) >(0,0) f(x, y). Which of the following statements is correct? O L does not exist because f(x,y) is not defined at (0,0). (f(x,y) fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur.) L=1/17 L does not exist because the limit as (x,y) goes to (0.0) along the y-avis is different from the

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A: Ans is given below

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: