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The graph of the function f(x) = cot x is given above for the interval x in[0,2 pi] NLY . Determine the one -sided limit. Then indicate the equation of the vertical asymptote .

The Graph Of The Function Fx Cot X Is Given Above For The Interval X In02 Pi NLY Determine The One Sided Limit Then Indicate The Equation Of The Vertical Asympt class=

Answer :

we have that

[tex]\lim_{x\to\pi^-}f(x)=-infinite[/tex][tex]\lim_{x\to\pi^+}f(x)=+infinite[/tex]

The equation of the vertical asymptote is

[tex]x=\pi[/tex]

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