The limit $\lim _{n \rightarrow \infty} \frac{1}{n^{2020}} \sum_{k=1}^n k^{2019}$

• A

  is $\frac{1}{2018}$.
• Correct answer
  B

  is $\frac{1}{2020}$.
• C

  is $\frac{1}{2019}$.
• D

  does not exist

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