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Limits and Derivatives — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
MCQ
Find the value of $\lim\limits_{\text{x} \rightarrow 0} \frac{2\text{x}^2 + 3\text{x} + 4}{2}$​
  • ✓
    $2$
  • B
    $1$
  • C
    $3\sqrt 5$
  • D
    $2 \sqrt 5$
✓

Answer

Correct option: A.
$2$
Let $ \lim\limits_{\text{x} \rightarrow 0} \frac{2\text{x}^2 + 3\text{x} + 4}{2}$ ​This is not an indeterminate form,
Therefore, $\text{L}=\lim\limits_{\text{x}\rightarrow 0}\dfrac {2(0)+3(0)+4}{2}=\dfrac {4}{2}\text{L}=2$

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