3 ms·

So when you have an infinite series of the form 1-1+1-1+1-1+... then because there is no single point of convergence and so you average the two values 0 and 1 t

So when you have an infinite series of the form 1-1+1-1+1-1+... then because there is no single point of convergence and so you average the two values 0 and 1 to give 0.5. Why does an average of the two values that you can converge on help? Also, what about something like: sin(π/2) + sin(3π/2) - sin(5π/2) + sin(7π/2) - ... what would this be?

tamana 10y ago
The average is simply a summary description of the behaviorat infinity. Averages are a standard way to summarize complex phenomena. More precisely, the sume is 0.5+/-0.5, which is greater than 0 and less than 1 and ambiguous in between.