Evaluate the following limit: `lim_(x->0)(sin^2 4x^2)/(x^4)`

Explanation

To evaluate the limit \( L = \lim_{x \to 0} \frac{\sin^2(4x^2)}{x^4} \), we can follow these steps:

### Step 1: Rewrite the limit
We start with the limit:
\[ L = \lim_{x \to 0} \frac{\sin^2(4x^2)}{x^4} \]

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