How do you find the Vertical, Horizontal, and Oblique Asymptote given $y = (x + 1)/(x - 1)$ ?

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Answer 1 · 2017-02-07T10:30:58

The vertical asymptote is $x=1$
The horizontal asymptote is $y=1$
No oblique asymptote

As you cannot divide by $0$ , $x!=1$

The vertical asymptote is $x=1$

As the degree of the numerator $=$ the degree of the denominator, there is no oblique asymptote

$lim_(x->+oo)y=lim_(x->+oo)x/x=1$

The horizontal asymptote is $y=1$

graph{(y-(x+1)/(x-1))(y-1)(y-100x+100)=0 [-8.1, 9.674, -4.8, 4.085]}

How do you find the Vertical, Horizontal, and Oblique Asymptote given y = (x + 1)/(x - 1)y = (x + 1)/(x - 1)?