I would have liked to post this in mathematical symbols, but I haven’t figured out if they even exist on my Mac. Please bear with me as I put these two problems in words.
Starting with n=2 at what point will summing 1/n be greater than 2?
Starting with n=1 at what point will summing 1/2n be greater than 2?
Hint on the second: see http://magree.blogspot.com/2013/08/unlimited-has-its-limits.html and the links in that entry.