` f(x){{:(x^(3) - 1"," if x le 1 ),(x^(2) "," if x gt 1 ):}`

Explanation

To determine if the function \( f(x) \) is continuous at \( x = 1 \), we need to check the following conditions:

1. **Evaluate \( f(1) \)**.
2. **Find the left-hand limit \( \lim_{x \to 1^-} f(x) \)**.
3. **Find the right-hand limit \( \lim_{x \to 1^+} f(x) \)**.
4. **Compare the values from steps 1, 2, and 3**.

### Step 1: Evaluate \( f(1) \)
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