When I was 12 my school got a very primitive computer. The teacher asked me what I wanted it to do for me. I said
I want to know whats bigger eπ or πe.I typed both of them in, but I forgot the order I typed them in so I didn't find out. I didn't try again because I realized that even if I found out the answer it would not tell me a reason for the answer.
I had forgotten all about it until last week when I got a review of the book When Least is Best (book by Paul Nahim, review by Yannis Haralambous) in my capacity of SIGACT NEWS book review editor. Here is a quote from the review:
Imagine you are stranded on a desert island (without logarithm tables or computers) and--- probably due to an emotional shock---your only concern is to find out which one among numbers πe and eπ is bigger. The solution is: take h(x)=ln(x)/x, take the derivative twice to prove that x=e is a maximum, and that gives eπ is bigger.I am sure this is well known; however, since I didn't know it until last week I hope this will enlighten some of my readers.