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P Lim X → 1 √ X + 8 √ X

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Question

\[\lim_{x \to 1} \frac{\sqrt{x + 8}}{\sqrt{x}}\] 

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Solution

\[\lim_{x \to 1} \left( \frac{\sqrt{x + 8}}{\sqrt{x}} \right)\]
\[ = \frac{\sqrt{1 + 8}}{1}\]
\[ = 3\] 

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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 4 | Page 18

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