Let `f(x)=(log(1+x/a)-log(1-x/b))/x ,\ \ x!=0` . Find the value of `f` at `x=0` so that `f` becomes continuous at `x=0` .

Explanation

To find the value of \( f(0) \) such that the function \( f(x) \) becomes continuous at \( x = 0 \), we need to evaluate the limit of \( f(x) \) as \( x \) approaches 0.

Given:
\[ f(x) = \frac{\log(1 + \frac{x}{a}) - \log(1 - \frac{x}{b})}{x}, \quad x \neq 0 \]

### Step 1: Rewrite the function using properties of logarithms
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