Is There a Better Name for the Anti-Limit Problem?

[bernhard.rothenstein]

Consider please the function F(u,c,V). Find out its algebraic structure knowing that its limit for u=c is sqrt[(1+V/c)/(1-V/c)].
Hint: Physicists know two solutions of it
F(u,V,c)=[1+V/u]/sqrt(1-V^2/c^2)
F(u,V,c)=[1+Vu/c^2]sqrt(1-V^2/c^)
(Is it a consacrated name for the problem? I used anti-limit for it)
Thanks in advance

 

[Klaus_Hoffmann]

sorry for my ignorance..but what is an 'anti-limit' ?? .. of a certain function.

 

[bernhard.rothenstein]

anti-limit problem

sorry for my ignorance..but what is an 'anti-limit' ?? .. of a certain function.

I am not a matematician and so I do not know an adequate term for the opperation which leads from the limit of a function to the function. Do you know a better name for it?

 

[DeadWolfe]

The solution is not determined, since if f is an solution, and g is any continuous function vanishing at u=v, then f+g is also a solution.

 

[bernhard.rothenstein]

anti-limit

The solution is not determined, since if f is an solution, and g is any continuous function vanishing at u=v, then f+g is also a solution.

Would some relativistic additives help like u<c, u appears only at the first power...). Is there a better name for anti-limit? Thanks