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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{e}^\text{x+2}-\text{e}^2}{\text{x}}$
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Answer

$\lim\limits_{\text{x}\rightarrow0}\frac{\text{e}^\text{x+2}-\text{e}^2}{\text{x}}$
$=\text{e}^2\lim\limits_{\text{x}\rightarrow0}\frac{\text{e}^\text{x}-1}{\text{x}}$
$=\text{e}^2$

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