Let $\vec{a}, \vec{b}, \vec{c}$ be three non-coplanar vectors such that $\overrightarrow{ a } \times \overrightarrow{ b }=4 \overrightarrow{ c }, \overrightarrow{ b } \times \overrightarrow{ c }=9 \overrightarrow{ a }$ and $\overrightarrow{ c } \times \overrightarrow{ a }=\alpha \overrightarrow{ b }, \alpha>0$ . If $|\vec{a}|+|\vec{b}|+|\vec{c}|=36$, then $\alpha$ is equal to$....$
→If $f(x) = \left\{ \begin{array}{l}\sin x,\;x \ne n\pi ,\;\;n \in Z\\\,\,\,\,\,\,2,\,{\rm{\,\,otherwise}}\end{array} \right.$ and $g(x) = \left\{ \begin{array}{l}{x^2} + 1,\;x \ne 0,\,2\\\,\,\,\,\,\,\,\,\,4,\,x = 0\\\,\,\,\,\,\,\,\,\,\,5,x = 2\end{array} \right.,$ then $\mathop {\lim }\limits_{x \to 0} g\,\{ f(x)\} $ is
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