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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the asymptotes of the following curves: f(x) = x2x+1

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Question

Find the asymptotes of the following curves:

f(x) = `x^2/(x + 1)`

Sum
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Solution


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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Applications in Optimization
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Chapter 7: Applications of Differential Calculus - Exercise 7.9 [Page 53]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 7 Applications of Differential Calculus
Exercise 7.9 | Q 1. (ii) | Page 53
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