Evaluate (i) `lim_(x->0)(sin4x)/(sin2x)` (ii) `lim_(x->0)(tanx)/x`

Explanation

Let's evaluate the two limits step by step.

### (i) Evaluate \( \lim_{x \to 0} \frac{\sin 4x}{\sin 2x} \)

**Step 1: Rewrite the limit**
We start with the limit:
\[
\lim_{x \to 0} \frac{\sin 4x}{\sin 2x}
...