Question

The natural logarithmic function $f\left(x\right)=\ln x$ has the _____ asymptote $x=$_____.

Short answer

The natural logarithmic function $f\left(x\right)=\ln x$has the vertical asymptote $x=0$.

Step-by-step solution

Step 1. Given.

The given function is $f\left(x\right)=\ln x$.

Step 2. To determine.

We have to find the asymptote of $f\left(x\right)=\ln x$.

Step 3. Calculation.

We’ll graph the function$f\left(x\right)=\ln x$ using a graphing calculator.

From this graph we see that the vertical asymptote is $x=0$.

Hence, the natural logarithmic function $f\left(x\right)=\ln x$has the vertical asymptote $x=0$.