find the sum of n-term of the series

1/1+1/2+1/3+1/4+1/5+...+1/n

plz show step

This is called the Harmonic Series and has been the topic of many studies.

It comes down to a question of Divergence or Convergence.
You will get a finite sum of a series only if the series converges.
It has been proven that the Harmonic Series actually diverges.

Here are two Youtubes that show how this was done.

https://www.youtube.com/watch?v=6jVKDGFU2IA

https://www.youtube.com/watch?v=WC6_mCUT9YU

Hope this helps