The graph of the function f(x)=csc⁡x\displaystyle {f{{\left({x}\right)}}}={\csc{{x}}} is given above for the interval x∈[0,2π]\displaystyle {x}\in{\left[{0},{2}\pi\right]} ONLY.

Determine the one-sided limit. Then indicate the equation of the vertical asymptote.

Find lim⁡x→π− f(x)=\displaystyle \lim_{{{x}\to\pi^{{-}}}}\ {f{{\left({x}\right)}}}=

This indicates the equation of a vertical asymptote is x=\displaystyle {x}=   .

Find lim⁡x→(2π)− f(x)=\displaystyle \lim_{{{x}\to{\left({2}\pi\right)}^{{-}}}}\ {f{{\left({x}\right)}}}=

This indicates the equation of a vertical asymptote is x=\displaystyle {x}=   .

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