Question:
Evaluate the Given $\operatorname{limit}_{x \rightarrow 0} x \lim _{x \rightarrow 0} x$
Solution:
$\lim _{x \rightarrow 0} x \sec x=\lim _{x \rightarrow 0} \frac{x}{\cos x}=\frac{0}{\cos 0}=\frac{0}{1}=0$
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