Question

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 .

Answer 1

we have that

`\lim_(x\to\pi^-)f(x)=-infinite`
`\lim_(x\to\pi^+)f(x)=+infinite`

The equation of the vertical asymptote is

`x=\pi`