Some Remarks on Rational Müntz Approximation on [0,∞)

The following result is proved in the present paper: Let ${\displaystyle \left\{{\lambda }_n\right\}}$ be an increasing sequence of distinct real numbers which approaches a finite limit λ as n goes to infinity and for which $$\text{Could not find of for root}$$ Then the rational combinations of ${\displaystyle \left\{x^{{\lambda }_n}\right\}}$ form a dense set in ${\displaystyle C_{\begin{array}{cc}0& \infty \end{array}}}$. One could note that the method used in this paper is probably more interesting than the result itself.