The function is not defined at

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

The function f(x)=1−sin⁡x+cos⁡x1+sin⁡x+cos⁡xf(x) = \frac{1 - \sin x + \cos x}{1 + \sin x + \cos x} is not defined at x=πx = \pi . The value of f(π)f(\pi) so that f(x)f(x) is continuous at x=πx = \pi , is (a) −12-\frac{1}{2} (b) 12\frac{1}{2} (c) -1 (d) 1

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