What are the asymptotes for #F(X) = (1/ X^2)  2#?
Vertical asymptote at
Horizontal asymptote at
graph{1/(x^2)2 [4.933, 4.932, 2.464, 2.47]}
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To find the asymptotes of the function ( f(x) = \frac{1}{x^2}  2 ), we need to identify where the function approaches infinity or negative infinity.

Vertical asymptotes occur where the function approaches infinity or negative infinity as ( x ) approaches certain values. Since ( x^2 ) cannot be zero, there are no vertical asymptotes for this function.

Horizontal asymptotes occur as ( x ) approaches positive or negative infinity. For the given function, as ( x ) approaches positive or negative infinity, the term ( \frac{1}{x^2} ) approaches zero. Therefore, the horizontal asymptote is at ( y = 2 ).
So, the horizontal asymptote for ( f(x) = \frac{1}{x^2}  2 ) is ( y = 2 ). There are no vertical asymptotes.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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