To find the limit as x approaches infinity of the given expression x/$2x+∛(x^3)+1$, we can divide all terms by x in order to simplify:

limx->∞ x/$2x+∛x^3+1$ = limx->∞ 1/$2+1/x^{(}2/3)+1/x$ = 1/2

Therefore, the limit as x approaches infinity of the given expression x/$2x+∛(x^3)+1$ is 1/2.