What are the asymptotes for $F (X) = (\frac{1}{X^{2}}) - 2$ $F(X) = (1/ X^2) - 2$ ?

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Answer 1 · 2015-10-28T18:53:07

Vertical asymptote at $x = 0$ $x=0$
Horizontal asymptote at $y = - 2$ $y=-2$

Vertical asymptotes occur at points where the denominator is zero, so in this case at $x = 0$ $x=0$ .

Horizontal asymptotes occur at $lim_(x->+-oo)F(x)=-2$

graph{1/(x^2)-2 [-4.933, 4.932, -2.464, 2.47]}

What are the asymptotes for F(X) = (1/ X^2) - 2F(X)=(1X2)−2F(X) = (1/ X^2) - 2?