1.

\(\mathop {{\rm{lim}}}\limits_{{\rm{x}} \to 1 - } \frac{{\sqrt {\rm{\pi }} - \sqrt {2{\rm{si}}{{\rm{n}}^{ - 1}}{\rm{x}}} }}{{\sqrt {1 - {\rm{x}}} }}{\rm{\;}}\)is equal to

A. \(\sqrt {\frac{{\rm{\pi }}}{2}}\)
B. \(\sqrt {\frac{2}{{\rm{\pi }}}}\)
C. \({\rm{\;}}\sqrt {\rm{\pi }}\)
D. \(\frac{1}{{\sqrt {2{\rm{\pi }}} }}\)
Answer» C. \({\rm{\;}}\sqrt {\rm{\pi }}\)


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