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Im X → 1 1 + ( X − 1 ) 2 1 + X 2

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Question

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

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Solution

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

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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 6 | Page 18

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