$\lim _{n \rightarrow \infty} \frac{\pi}{2 n}\left[\sin \frac{\pi}{2 n}+\sin \frac{2 \pi}{2 n}+\sin \frac{3 \pi}{2 n}+\ldots+\sin \frac{\pi}{2}\right]=$

• Correct answer
  A

  $1$
• B

  $0$
• C

  $4$
• D

  $3$

Hence, the correct answer is option: 'A'.