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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits1 Mark
Question
Evaluate the following limits:
$\lim\limits_{\text{x}\rightarrow0}\frac{2\text{x}^2+3\text{x}+4}{\text{x}^2+3\text{x}+2}$
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Answer

$\lim\limits_{\text{x}\rightarrow0}\frac{2\text{x}^2+3\text{x}+4}{\text{x}^2+3\text{x}+2}=\lim\limits_{\text{x}\rightarrow0}\frac{2\text{x}^2+3\text{x}+4}{(\text{x}+2)(\text{x}+1)}$
$=\frac{2(0)+3(0)+4}{(0+2)(0+1)}=\frac{4}{2}=2$

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