calc9 - get lim(x y(0 0 y = 0 sin(x y 2x − y = lim x!0...

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Solution. We take the limit as (x, y) approaches (0, 0) along two different lines with equations y = cx. First, let (x, y) approach (0, 0) along the line y = 0. We
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Unformatted text preview: get lim (x, y) ! (0, 0) y = 0 sin(x + y) 2x − y = lim x!0 sin x 2x = lim x!0 cos x 2 = 1 2 ,...
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