Among the given options, the function $f (x) = t a n x$ is discontinuous at .

\frac{- π}{4}

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\frac{π}{4}

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\frac{π}{2}

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Solution

The correct option is D $\frac{π}{2}$
The function $f (x) = t a n x$ is undefined at $x = \frac{π}{2}$ .
Also, $lim x \to \frac{π}{2} t a n x = \infty$

Since the limit of the function doesn't exist finitely at $x = \frac{π}{2}$ , it is discontinuous at that point.

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