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Give an Appropriate Answer f(x,y,z)f ( x , y , z )

Question 56

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Give an appropriate answer.
-Given the function f(x,y,z)f ( x , y , z ) 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,z)f(0,0,0)<ε| f ( x , y , z ) - f ( 0,0,0 ) | < \varepsilon .
f(x,y,z)=sin2x+sin2y+sin2z;ε=0.12f ( x , y , z ) = \sin ^ { 2 } x + \sin ^ { 2 } y + \sin ^ { 2 } z ; \varepsilon = 0.12

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