I need help with this question, I am not too sure how I would go about it...
lim
(x,y)->(2+p2,2)
of
(y − 2)(x − (2 + p2))/
x2 − 4x − y2 + 3y
by writing f(x, y) = (2 + p2 + r cos(theta), 2 + r sin(theta)). Along which radial lines
does the limit equal to zero?
The problem itself is pretty close to trivial! With the numerator being , it is obvious that the numerator is 0 at , . It is a little harder to calculate the denominator there, but not much, and the result is NOT 0. What does that tell you?
(Dang, typing too slow again!)