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Lim X → 0 8 X − 2 X X

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प्रश्न

\[\lim_{x \to 0} \frac{8^x - 2^x}{x}\]

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उत्तर

\[\lim_{x \to 0} \left[ \frac{8^x - 2^x}{x} \right]\]
\[ = \lim_{x \to 0} \left[ \frac{\left( 8^x - 1 \right)}{x} - \frac{\left( 2^x - 1 \right)}{x} \right]\]
\[ = \log \left( 8 \right) - \log \left( 2 \right)\]
\[ = \log \left( \frac{8}{2} \right)\]
\[ = \log 4\]

 

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अध्याय 29: Limits - Exercise 29.1 [पृष्ठ ७१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 29 Limits
Exercise 29.1 | Q 24 | पृष्ठ ७१

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