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प्रश्न
Find the asymptotes of the following curves:
f(x) = `x^2/(x + 1)`
उत्तर
The function becomes undefined when x = – 1
∴ Vertical asymptote is x = – 1 and there is no horizontal asymptote.
No horizontal asymptote exists for the curve.
Oblique asymptote can be obtained by polynomial long division method.
Oblique or slant asymptote is y = x – 1
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