Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. 2x f(x,y) = x? +x+y? ... It will be useful to convert to polar coordinates. Choose the correct conversion below. 2x 2r sin 0 lim = lim O A. (x,y)→(0,0) x +x+ y? r→0 +rsin 0 2x 2r cos 0 lim = lim В. (x,y)→(0,0) x +x+y r→1 +r cos e 2 X- 2x 2r cos 0 С. lim = lim 2 (x.y)→(0,0) x + x+y? r+0 +r cos e 2x 2r sin 0 D. lim = lim (x,y)→(0,0) x² + x + y? r+1 +rsin 0

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