Evaluate the following limit: `lim_(x->0)(x(2^x-1))/(1-cos x)`

Explanation

To evaluate the limit \( L = \lim_{x \to 0} \frac{x(2^x - 1)}{1 - \cos x} \), we can follow these steps:

### Step 1: Check the form of the limit
First, we substitute \( x = 0 \) directly into the limit:

\[ L = \frac{0(2^0 - 1)}{1 - \cos(0)} = \frac{0(1 - 1)}{1 - 1} = \frac{0}{0} \]
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