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[Solved]: Question A1 (3 marks) Given the function f(x,y)=(x
Home / Expert Answers / Calculus / question-a1-3-marks-given-the-function-f-x-y-x-2-y-2-x-2-y-2-x-y-0-0-determine-w-pa374

(Solved): Question A1 (3 marks) Given the function f(x,y)=(x^(2)-y^(2))/(x^(2)+y^(2)),(x,y)!=(0,0) determine w ...



Question A1 (3 marks) Given the function

f(x,y)=(x^(2)-y^(2))/(x^(2)+y^(2)),(x,y)!=(0,0)

determine whether

f(x,y)

is continuous at

(0,0)

by evaluating its limit along the following paths:

y=0,y=x,y=2x

and

y=x^(2)

.

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