If , where is the signum function,…

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

Problem

If f(x)=sgn⁡(cos⁡2x−2sin⁡x+3)f(x) = \operatorname{sgn}(\cos 2x - 2 \sin x + 3), where sgn⁡()\operatorname{sgn}() is the signum function, then f(x)f(x) (1) is continuous over its domain. (2) has a missing point discontinuity. (3) has isolated point discontinuity. (4) has irremovable discontinuity.

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