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PART - 2 CH - 12 Limits and Derivatives — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPART - 2 CH - 12 Limits and Derivatives1 Mark
Question
Evaluate $\lim _{x \rightarrow 0}(x \cdot \cot x).$
✓

Answer


$\begin{array}{l}\lim _{x \rightarrow 0} x \cdot \cot x \\ =\lim _{x \rightarrow 0} \frac{x}{\tan x}=\lim _{x \rightarrow 0} \frac{1}{\frac{\tan x}{x}}=\frac{1}{1}=1\end{array}$

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