Show that the Beta Function $\beta (x,y)$ Converges When $x \gt 0, \space y \gt 0$
It should say that if $y > 0$ there is a constant $c$ such that $t^{x-1}(1-t)^{y-1} \le c t^{x-1}$ for $0 < t < 1/2$.
Show that the Beta Function $\beta (x,y)$ Converges When $x \gt 0, \space y \gt 0$
It should say that if $y > 0$ there is a constant $c$ such that $t^{x-1}(1-t)^{y-1} \le c t^{x-1}$ for $0 < t < 1/2$.