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A: To Determine :- Compute the limit or show that it does not exist : lim x , y → 0 , 0 x3 y2 + x2…
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A: Introduction: Limits in mathematics are distinct real numbers. Consider a real-valued function "f"…
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A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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Q: (a) Calculate the limit lim (z,y)→(0,0) x³ + y*' or show that it does not exist.
A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…
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- Let f (x, y) = xy/(x2 + y2). Show that f (x, y) approaches zeroalong the x- and y-axes. Then prove that lim (x,y)→(0,0)f (x, y) does not exist by showing that the limit along the line y = x is nonzero.Compute the limit (x,y)→(0,0) of 8xy / 2x^2+ 4y^2 along the following paths. (a) Along the y-axis. (b) Along the line y=3x. (c) What can you conclude about the limit?