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 

1
\(\frac{-1}{2}\)
2
\(\frac{1}{2}\)
3
-1
4
1

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