Proof of p-series convergence criteria (article) | Khan Academy

Want to join the conversation?Log inSort by:hjy62965 years agoPosted 5 years ago. Direct link to hjy6296's post “I'm at 2:50 looking at th...”I'm at 2:50 looking at the two graphs and I'm a little confused about the graph on the right side. If you add 1 to the integral, shouldn't the graph be something like a graph on the left side but the red bar on the right side graph added to it?Button navigates to signup page•Button navigates to signup page(16 votes)Alex5 years agoPosted 5 years ago. Direct link to Alex's post “The integral expression o...”The integral expression on the left includes the white area under the curve. The expression on the right includes the white area under the curve plus the red bar. If it's the orange series that's confusing you, it's simply because the indexes are shifted over by 1 in the graph on the right, making the red bar also belong to the orange series.Comment on Alex's post “The integral expression o...”(7 votes)G Y7 years agoPosted 7 years ago. Direct li...