I just need to know how you determine if a series of convergent or divergent. I have this example in which I know is divergent I just don't know why: summation (n=1 to infinity) 1/(2n) The first couple of terms are 1/2 + 1/4 + 1/6 + 1/8 + ... Up until that point, it's already beyond equaling 1. Dont know if that means anything. Another example is summation (k=2 to infinity) (k^2)/((k^2)-1) also divergent Hoping if someone explains it to me with these examples that I'll understand better. Please help so I can learn this!