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.
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.