How to find the vertical assimptote

[transgalactic]

$$f(x)=\frac{1}{1+ln|x|}\\$$
$$x\neq \frac{1}{e}\\$$
$$x\neq \frac{-1}{e}\\$$
$$lim_{x->\frac{1}{e}^+}\frac{1}{1+ln|x|}=\\$$
$$lim_{x->\frac{1}{e}^-}\frac{1}{1+ln|x|}=\\$$
i can't immagine ithe values in this function
??

 

[HallsofIvy]

First, 1/e is a positive number so you can just drop the absolute value.

Second, ln e^-1= -1. Since ln(x) is an increasing function, if x< e^-1, ln(x)< -1 and if x> e^-1, ln(x)> -1. That's all you need.