Evaluate `lim_(xtooo) (root(3)((x+1)(x+2)(x+3))-x).`

Explanation

To evaluate the limit \( \lim_{x \to \infty} \left( \sqrt[3]{(x+1)(x+2)(x+3)} - x \right) \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \sqrt[3]{(x+1)(x+2)(x+3)} - x \]
We can rewrite the cube root term:
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