Question on an infinite series

Hello Sir, I was in your algebra 3 course last year and found this blog useful so I was hoping you could provide me with some assistance on the following problem from my Theory of Numbers Course. How would you show that Sigma(1/p^2) is less that or equal to 1. Where p is a prime. [...]

Local and global maxima

Hi Professor! Just very quickly, what’s the difference between the global maximum/minimum of a function and the local maximum/minimum of a function? I understand that if a function achieves a global maximum at a point then it automatically achieves a local maximum, but vice versa is not necessarily true. Also, the definitions look identical besides [...]