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Question
Find the asymptotes of the following curves:
f(x) = `x^2/(x^2 - 1)`
Sum
Solution
The function becomes undefined when x = 1 and x = – 1
∴ x = 1 and x = – 1 are the vertical asymptotes
As ‘x’ gets larger (Positive or negative) the function
The function attaining the value 1.
∴ y = 1 is horizontal asymptote
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Symmetry and Asymptotes
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