liminfxa

liminfxa is a term that appears to be a misspelling or a non-standard combination of mathematical concepts. The most likely intended concepts are "liminf" (limit inferior) and possibly a variable like "x" or a function involving "x".

The limit inferior of a sequence of real numbers $x_n$, denoted as $\liminf_{n \to \infty} x_n$, represents the largest real number $L$ such that for every $\epsilon > 0$, there are infinitely many terms $x_n$ with $x_n < L + \epsilon$, and only finitely many terms $x_n$ with $x_n < L - \epsilon$. Equivalently, it is the infimum of the set of limit points of the sequence.

If "liminfxa" refers to the limit inferior of a sequence where each term is a function of 'x', such as $f_n(x)$, then the expression would be $\liminf_{n \to \infty} f_n(x)$. This would represent a function of 'x' that, for each specific value of 'x', gives the limit inferior of the sequence of function values at that 'x'. The properties of such a function would depend heavily on the specific functions $f_n(x)$ involved.

Without further context or clarification, "liminfxa" does not have a defined mathematical meaning. It is probable that it is an unintentional typographical error.