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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 $\lim_\limits{\text{x}\rightarrow 0}\frac{\text{x}\tan\text{x}}{\cot\text{x}} ?$
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $\frac{1}{2}$
✓

Answer

Correct option: A.
$0$
$\lim_\limits{\text{x}\rightarrow 0}\frac{\text{x}\tan\text{x}}{\cot\text{x}}=\lim_\limits{\text{x}\rightarrow 0}\frac{\text{x}\frac{\sin\text{x}}{\cos\text{x}}}{\frac{\cos\text{x}}{\sin\text{x}}}$
$\lim_\limits{\text{x} \rightarrow 0}\text{x}= 0$

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