Show that \lim_{(x,y)\to(0,0)} \frac{2xy}{x^2 + y^2} does not exist
Added by William T.
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To show that the limit does not exist as (x,y) approaches (0,0), we need to find two different paths along which the limit gives different values or does not exist. Let's consider two paths: y = mx and y = x^2. Show more…
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