Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Lim X → 3 √ 2 X + 3 X + 3 - Mathematics

\[\lim_{x \to 3} \frac{\sqrt{2x + 3}}{x + 3}\] 

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Solution

\[\lim_{x \to 3} \left[ \frac{\sqrt{2x + 3}}{x + 3} \right]\]
\[ = \frac{\sqrt{2 \times 3 + 3}}{3 + 3}\]
\[ = \frac{3}{6}\]
\[ = \frac{1}{2}\]

 

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 29 Limits
Exercise 29.2 | Q 3 | Page 18
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