Question

In the interval $(-\frac{\pi }{4},\frac{\pi }{4})$, the function $f\left(x\right)=tanx$ is .

• A. continuous
• B. discontinuous
• C. undefined

Answer 1

The correct option is A continuous

The function $f\left(x\right)=tanx$ is discontinuous only at the odd integral multiples of $\frac{\pi }{2}$. Since $\frac{\pi }{2}\notin (-\frac{\pi }{4},\frac{\pi }{4})$, the function is continuous everywhere in the domain.