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Limits and Derivatives — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLimits and Derivatives2 Marks
Question
Evaluate $\mathop {\lim }\limits_{x \to 0} x\sec x$
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Answer

Here $\mathop {\lim }\limits_{x \to 0} x\sec x$
$ = \mathop {\lim }\limits_{x \to 0} x \times \frac{1}{{\cos x}}\rightarrow\mathop {\lim }\limits_{x \to 0} \frac{x}{{\cos x}} = \frac{0}{1} = 0$

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