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Limits — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLimits1 Mark
Question
Evaluate the following limit:
$\lim\limits_{\text{n}\rightarrow\infty}\Big(1+\frac{\text{x}}{\text{n}}\Big)^\text{n}$
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Answer

$\lim\limits_{\text{n}\rightarrow\infty}\Big(1+\frac{\text{x}}{\text{n}}\Big)^\text{n}$
$=\text{e}^{\lim\limits_{\text{n} \rightarrow\infty}\big(\frac{\text{x}}{\text{n}}\big)\text{n}}$
$=\text{e}^\text{x}$

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