The ratio of two strictly increasing functions - MathOverflow most recent 30 from http://mathoverflow.net2013-05-23T10:47:58Zhttp://mathoverflow.net/feeds/question/95091http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/95091/the-ratio-of-two-strictly-increasing-functionsThe ratio of two strictly increasing functionsSeyhmus Güngören2012-04-24T23:19:29Z2012-04-25T08:33:08Z
<p>Given:
\begin{equation}
f_1(a)=\sum_{i=1}^{k^*-1} \left(\begin{array}{c}
K \\
i \
\end{array} \right) \left(-1-\frac{1}{ar}\right)^i
\end{equation}
\begin{equation}
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
\end{equation}
prove or disprove that
\begin{equation}
f_3(a)=\frac{f_1(a)}{f_2(a)}
\end{equation}
is an increasing funtion of $a$,
where $-1< r < 0$ and $0.5 < a < 1$</p>
http://mathoverflow.net/questions/95091/the-ratio-of-two-strictly-increasing-functions/95130#95130Answer by Seyhmus Güngören for The ratio of two strictly increasing functionsSeyhmus Güngören2012-04-25T08:33:08Z2012-04-25T08:33:08Z<p>Which Tags should i have chosen? Thanks for the comment.</p>