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Limits and Derivatives — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
MCQ
What is the value of $ \lim_\limits{\text{x} \rightarrow 0}\frac{\text{x}^2\sec\text{x}}{\sin\text{x}}?$
  • A
    $3$
  • B
    $2$
  • C
    $1$
  • ✓
    $0$
✓

Answer

Correct option: D.
$0$
$\lim_\limits{\text{x} \rightarrow 0}\frac{\text{x}^2\sec\text{x}}{\sin\text{x}}​​​\times​\ \lim_\limits{\text{x} \rightarrow 0}\frac{\text{x}}{\cos\text{x}} $$$
$= 1 \times 0$
$= 0$

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