Examine the function

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Examine the function, f(x)={cos⁡xπ/2−x,x≠π/21,x=π/2 for continuity at x=π/2.f(x) = \begin{cases} \frac{\cos x}{\pi/2 - x}, & x \neq \pi/2 \\ 1, & x = \pi/2 \end{cases} \text{ for continuity at } x = \pi/2.

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