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Lim N → ∞ ( 1 + X N ) N

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प्रश्न

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

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उत्तर

\[\lim_{n \to \infty} \left( 1 + \frac{x}{n} \right)^n \]
\[ = e^\lim_{n \to \infty} \left( \frac{x}{n} \right) \times n \]
\[ = e^x\]

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अध्याय 29: Limits - Exercise 29.11 [पृष्ठ ७६]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 29 Limits
Exercise 29.11 | Q 1 | पृष्ठ ७६

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