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Find Two Paths of Approach from Which One Can Conclude  Show that f(x,y,z)=ex2+y2+z2 is continuous at the origin. \text { Show that } f ( x , y , z ) = e ^ { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \text { is continuous at the origin. }

question 229

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
-  Show that f(x,y,z)=ex2+y2+z2 is continuous at the origin. \text { Show that } f ( x , y , z ) = e ^ { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \text { is continuous at the origin. }

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