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

Essay

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