Mathematics

Problem

The function

f(x) = \frac{1 - \sin x + \cos x}{1 + \sin x + \cos x}

is not defined at

x = \pi

. The value of

f(\pi)

so that

f(x)

is continuous at

x = \pi

, is (a)

-\frac{1}{2}

(b)

\frac{1}{2}