English

Lim X → − 1 X 3 − 3 X + 1 X − 1

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Question

\[\lim_{x \to - 1} \frac{x^3 - 3x + 1}{x - 1}\]

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Solution

\[\lim_{x \to - 1} \left( \frac{x^3 - 3x + 1}{x - 1} \right)\]
\[ = \frac{\left( - 1 \right)^3 - 3\left( - 1 \right) + 1}{- 1 - 1}\]
\[ = \frac{- 1 + 3 + 1}{- 2}\]
\[ = \frac{- 3}{2}\]

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Chapter 29: Limits - Exercise 29.2 [Page 18]

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R.D. Sharma Mathematics [English] Class 11
Chapter 29 Limits
Exercise 29.2 | Q 11 | Page 18

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