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Is the function f which is difined by f ( x , y ) { x 4 + c o s ( y ) 5

Is the function f which is difined by f(x,y){x4+cos(y)5x5ysin(xy),(x,y)=(0,0)0,(x,y)=(0,0)continuous in every point (x,y) eR^2.? if function is continuous, prove it by using the definition of continuity at (0,0)

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