@OldJohn hrm thank you for the suggestion, I've actually got that one handy too (accidentally got that instead of baby rudin at first, boy was that a mistake)
@Charlie negative, I think it's calculus on a napkin from my first calculus course some odd years ago
@PeterTamaroff your work on Cesaro theorem reminds me of a nice question: Let $a>0,x_0>0$. Consider the recurrence $x_{n+1}=x_n+a^{x_{n}}$ $\forall n \in \mathbb{N}$. Then compute $\lim_{n\to\infty} \displaystyle\frac{x_n}{\ln n}$.
@robjohn Let $X=\{1,2,\dots,100\}$ and define in $P(X)$, $A\sim B\iff A\triangle B$ has at most $2$ elements. I need to find the number of sets $B$ for which $\{1,2\}\sim B$.
I have to count the ways to place 83 (indistinguishable) balls into 5 numbered boxes such that there are an even number of balls in the even ones, and an odd number of balls in the odd ones.
It looks like who ever wrote it is hiding somthing why else write it as a product when its better understood as a sum, taking the logarithm of both sides would make it into a nicer form
