`lim_(xrarr0) (ax+x cos x)/(b sinx)`

Explanation

To solve the limit \( \lim_{x \to 0} \frac{ax + x \cos x}{b \sin x} \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the limit:
\[ L = \lim_{x \to 0} \frac{ax + x \cos x}{b \sin x} \]

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