Question: Problem #5. Let s | BT (@y) #(0,0) St { 0 (z:9) = (0,0); a) Show that f is continuous at (0,0). b) Show that

Problem #5. Let s | BT (@y) #(0,0) St { 0 (z:9) = (0,0); a) Show that f is continuous at (0,0). b) Show that gi(, 0) and %(0, 0) both exist and determine their values. ) Compute % away from (z,y) = (0,0) and show lim g ) (0,0) gi does not exist. d) Show that f is not differentiable at (0,0)

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