Recent content by longshadow

thank you for your reply! I'll see if I can get any new result. Another way I've tried is: 1. Still working on the function in my original post, both the numerator(N) and the denominator(D) are positive, and when ##t=0##, both N and D equal to one. So they have the same starting point. 2. When...

I'm thinking about the following function, which is a ratio of two finite power series. I'm trying to prove the monotonicity of this function, for arbitrary K. \frac{\sum_{j=0}^k [(at)^j/j!]}{\sum_{j=0}^k [(bt)^j/j!]}, and a>b>0, t>0 I know that if k goes to infinity, the function becomes an...