The ratio of two strictly increasing functions - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T10:47:58Z http://mathoverflow.net/feeds/question/95091 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/95091/the-ratio-of-two-strictly-increasing-functions The ratio of two strictly increasing functions Seyhmus Güngören 2012-04-24T23:19:29Z 2012-04-25T08:33:08Z <p>Given: $$f_1(a)=\sum_{i=1}^{k^*-1} \left(\begin{array}{c} K \\ i \ \end{array} \right) \left(-1-\frac{1}{ar}\right)^i$$ $$f_2(a)=\sum_{i=1}^{k^*-1} \left(\begin{array}{c} K\\ i<br> \end{array} \right) \left(-1+\frac{1}{a}\right)^i$$ prove or disprove that $$f_3(a)=\frac{f_1(a)}{f_2(a)}$$ is an increasing funtion of $a$, where $-1&lt; r &lt; 0$ and $0.5 &lt; a &lt; 1$</p> http://mathoverflow.net/questions/95091/the-ratio-of-two-strictly-increasing-functions/95130#95130 Answer by Seyhmus Güngören for The ratio of two strictly increasing functions Seyhmus Güngören 2012-04-25T08:33:08Z 2012-04-25T08:33:08Z <p>Which Tags should i have chosen? Thanks for the comment.</p>