If \(\mathop {\lim }\limits_{{\rm{x}} \to \frac{{\rm{\pi }}}{2}} \frac{{\sin {\rm{x}}}}{{\rm{x}}} = {\rm{l}}\) and \(\mathop {\lim }\limits_{{\rm{x}} \to \infty } \frac{{\cos {\rm{x}}}}{{\rm{x}}} = {\rm{m}}\), then which one of the following is correct?

\({\rm{l}} = \frac{2}{{\rm{\pi }}},{\rm{\;m}} = \infty \)

\({\rm{l}} = \frac{2}{{\rm{\pi }}},{\rm{\;m}} = 0\)

If \(\mathop {\lim }\limits_{{\rm{x}} \to \frac{{\rm{\pi }}}{2}} \frac

1.	If \(\mathop {\lim }\limits_{{\rm{x}} \to \frac{{\rm{\pi }}}{2}} \frac{{\sin {\rm{x}}}}{{\rm{x}}} = {\rm{l}}\) and \(\mathop {\lim }\limits_{{\rm{x}} \to \infty } \frac{{\cos {\rm{x}}}}{{\rm{x}}} = {\rm{m}}\), then which one of the following is correct?
A.	l = 1, m = 1
B.	\({\rm{l}} = \frac{2}{{\rm{\pi }}},{\rm{\;m}} = \infty \)
C.	\({\rm{l}} = \frac{2}{{\rm{\pi }}},{\rm{\;m}} = 0\)
D.	l = 1, m = ∞
Answer» D. l = 1, m = ∞

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If \(\mathop {\lim }\limits_{{\rm{x}} \to \frac{{\rm{\pi }}}{2}} \frac{{\sin {\rm{x}}}}{{\rm{x}}} = {\rm{l}}\) and \(\mathop {\lim }\limits_{{\rm{x}} \to \infty } \frac{{\cos {\rm{x}}}}{{\rm{x}}} = {\rm{m}}\), then which one of the following is correct?

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