Evaluate: `("lim")_(xvec0)(log(5+x)-"log"(5-x))/x`

Explanation

To evaluate the limit

\[ \lim_{x \to 0} \frac{\log(5+x) - \log(5-x)}{x}, \]

we start by recognizing that as \( x \) approaches 0, both \( \log(5+x) \) and \( \log(5-x) \) approach \( \log(5) \). This gives us the indeterminate form \( \frac{0}{0} \). To resolve this, we can use properties of logarithms.

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