Well, I've made a double limit using the polar forms. The thing is the limit is wrong, I've made a plot, and then I saw that the limit doesn't exist, and what I wanna know is what I'm reasoning wrong, and some tips to get a deeper comprehension on this limits, and on what I am doing. For the last one I wanna know the limit value, I think it doesn't exists neither. Is it because the sine and cosine oscillates?
r is always positive, as we defined it.
Bye there, thanks for posting.
Thanks. I've lost a sine on the way, I've already corrected it, but I think your answer holds. Anyway, as I got the same in the numerator and in the denominator for the first limit, excepting that in the denominator I got the square of the radius and the expression is negative I thought it tended to be -1 when the radius ->0 whats wrong with that?
Okay, I am with you to here
How did the "r" get back into this fraction? (Added: , not !)
From the line above this you can cancel both the " and in the numerator with the same in the denominator getting
which clearly depends on . for example, it , that is 1. If it is not defined. That alone is enough to tell you that the limit does not exist.
r is always positive, as we defined it.
Bye there, thanks for posting.