I earlier proclaimed that I positively solved this conjecture:
Conjecture 
There were error in my proof and I deleted it. See the draft of Funcoids and Reloids article for details on the current state of the problem.
Math Research of Victor Porton
Algebraic General Topology, Axiomatic Theory of Formulas, (generalized) limit of arbitrary function
I earlier proclaimed that I positively solved this conjecture:
Conjecture
There were error in my proof and I deleted it. See the draft of Funcoids and Reloids article for details on the current state of the problem.
A counter-example for this conjecture appears in the appendix “Some counter-examples” of the last version of Funcoids and Reloids article.