ZarinaK448855 ZarinaK448855
  • 28-10-2022
  • Mathematics
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for which value of x does the graph of the following function F(x) have a vertical asymptote ? F(x)= 1/x-11*PHOTO*

for which value of x does the graph of the following function Fx have a vertical asymptote Fx 1x11PHOTO class=

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IzharU627878 IzharU627878
  • 28-10-2022

Notice that

[tex]\begin{gathered} \lim_{x\to11^+}F(x)=+\infty \\ and \\ \lim_{x\rightarrow11^-}F(x)=-\infty \end{gathered}[/tex]

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

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

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