The function \({\rm{f}}\left( {\rm{x}} \right) = \frac{{1 - \sin {\rm{x}} + \cos {\rm{x}}}}{{1 + \sin {\rm{x}} + \cos {\rm{x}}}}\) is not defined at x = π. The value of f(π) so that f(x) is continuous at x = π, is

• A. \(\frac{-1}{2}\)
• B. \(\frac{1}{2}\)
• C. -1
• D. 1