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The limit of a polynomial function ($x-\sqrt[3]{x^3-5}$) when $x$ tends to infinity is equal to the limit of it's highest degree term (the term that when i'ts evaluated at a high value, grows quickier to infinity), so it's solution is equivalent to calculating the limit of only the highest degree term
Evaluate the limit $\lim_{x\to\infty }\left(x\right)$ by replacing all occurrences of $x$ by $\infty $