Question

Identify the asymptotes. y=1/x-6

Answer 1

Horizontal asymptote
y=1x−6
limx→∞=1/x−6

=(1/x) / [(x/x)−6/x]

 
=0 / 1

= 0

The function is also undefined at x=6. So there is a vertical asymptote at x=6.

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