QuestionFind the limit: $\lim _{x \rightarrow 0} \frac{\frac{1}{5+x}-\frac{1}{5}}{x}$.

Studdy Solution
Calculate the limit.
$$\frac{-1}{(5+0)5} = \frac{-1}{25}$$The limit as x approaches0 of the function $\frac{\frac{1}{5+x}-\frac{1}{5}}{x}$ is $\frac{-1}{25}$.