The notion of a value of a Boehmian at a point, its properties and the concept of regular delta sequences axe available in the literature. Let S be a Banach space. Denote by C(R-N, epsilon) the space of all continuous is an element of-valued functions on R-N and by D(R-N) the space of all infinitely differentiable real-valued functions with compact support in R-N. Using C(R-N, epsilon) as the top space and the usual delta sequences from D(R-N) we can construct in a canonical way a Boehmian space B = B(R-N, epsilon). In 1994, Piotr Mikusinski and Mourad Tighiouart asserted that, if for every representation [f(n)/phi(n)] of F is an element of B where (phi(n)) is regular delta sequence we have lim(n-->infinity) f(n) (x(0)) = alpha, then F(x(0)) = alpha. In this paper we shall point out that the proof of this theorem contains an error, produce a counterexample to show that the theorem is not valid and obtain modified conditions for its validity. As a consequence we shall also show that if F =[f(n)/phi(n)] where (phi(n)) is a delta sequence made of one function and if lim(n-->infinity) f(n)(x(0)) = alpha for every such representation, then F need not have a value at x(0). Incidentally, this observation settles one of the questions raised by Piotr Mikusiniski and Mourad Tighiouart.
