$\lim _{n \rightarrow \infty}\left(\frac{1}{1^2+n^2}+\frac{2}{2^2+n^2}+\frac{3}{3^2+n^2}+\ldots+\frac{n}{n^2+n^2}\right)=$

• A

  1
• Correct answer
  B

  $\frac{1}{2} \log 2$
• C

  $2 \log 2$
• D

  0

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