Question

${lim}_{x\to 0}\frac{\log (3+x)-\log (3-x)}{x}$

Answer 1

${lim}_{x\to 0}\frac{\log (3+x)-\log (3-x)}{x}$

Using Lhospiltals rule

${lim}_{x\to 0}\frac{1}{\log (3+x)}+\frac{1}{\log (3-x)}$

$⟹\frac{2}{\log 3}$