हिंदी

Lim X → a √ X + √ a X + a

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प्रश्न

\[\lim_{x \to a} \frac{\sqrt{x} + \sqrt{a}}{x + a}\] 

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उत्तर

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

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अध्याय 29: Limits - Exercise 29.2 [पृष्ठ १८]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 29 Limits
Exercise 29.2 | Q 5 | पृष्ठ १८

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