Question

for which value of x does the graph of the following function F(x) have a vertical asymptote ? F(x)= 1/x-11*PHOTO*

Answer 1

Notice that

$\begin{gathered} \lim_{x\to11^+}F(x)=+\infty \\ and \\ \lim_{x\rightarrow11^-}F(x)=-\infty \end{gathered}$

Since the denominator of the function vanishes as x->11.

Therefore, the vertical asymptote of F(x) is x=11