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Give an Appropriate Answer f(x,y)f ( x , y ) And the Positive Number

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Essay

Give an appropriate answer.
-Given the function f(x,y)f ( x , y ) and the positive number ε\varepsilon as in the formal definition of a limit, find a positive number δ\delta as in the definition that insures f(x,y)f(0,0)<ε| \mathrm { f } ( \mathrm { x } , \mathrm { y } ) - \mathrm { f } ( 0,0 ) | < \varepsilon .
f(x,y)=(1+cosx)(x+y);ε=0.08f ( x , y ) = ( 1 + \cos x ) ( x + y ) ; \varepsilon = 0.08


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