1.

If \({\rm{F}}\left( {\rm{x}} \right) = \sqrt {9 - {{\rm{x}}^2}} \), then what is \(\mathop {\lim }\limits_{{\rm{x}} \to 1} \frac{{{\rm{F}}\left( {\rm{x}} \right) - {\rm{F}}\left( 1 \right)}}{{{\rm{x}} - 1}}\) equal to?

A. \( - \frac{1}{{4\sqrt 2 }}\)
B. \(\frac{1}{8}\)
C. \(- \frac{1}{{2\sqrt 2 }}\)
D. \(\frac{1}{{2\sqrt 2 }}\)
Answer» D. \(\frac{1}{{2\sqrt 2 }}\)


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