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)
.