Question

Let f(x) = max. $\left( x^{2} - \frac{\pi^{2}}{4},\{\sin x\} \right)$. Which of the following is correct ?

• A. $\lim_{x \rightarrow 0^{-}}$f(x) = 0
• B. $\lim_{x \rightarrow 0}$f(x) = 0
• C. $\lim_{x \rightarrow \frac{\pi}{2}^{-}}$f(x) = 0
• D. $\lim_{x \rightarrow \frac{\pi}{2}}$f(x) = 1

Answer 1

Answer: (D)

$\lim_{x \rightarrow \frac{\pi}{2}}$f(x) = 1

Answer 2

By graph