Prove that the function `f(x)=x^n`is continuous at `x = n`, where n is a positive integer.

Explanation

To prove that the function \( f(x) = x^n \) is continuous at \( x = n \), where \( n \) is a positive integer, we need to show that:

\[ \lim_{x \to n} f(x) = f(n) \]

### Step 1: Define the function
We start with the function:
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