阅读下列解题过程:
$$
\sqrt{1-\frac{3}{4}}=\sqrt{\frac{1}{4}}=\sqrt{\left(\frac{1}{2}\right)^2}=\frac{1}{2} ; \sqrt{1-\frac{5}{9}}=\sqrt{\frac{4}{9}}=\sqrt{\left(\frac{2}{3}\right)^2}=\frac{2}{3} ; \sqrt{1-\frac{7}{16}}=\sqrt{\frac{9}{16}}=\sqrt{\left(\frac{3}{4}\right)^2}=\frac{3}{4} ; \cdots \cdots
$$
(1)计算:$\sqrt{1-\frac{17}{81}}=$
(2)按照你所发现的规律,猜想:$\sqrt{1-\frac{2 n+1}{(n+1)^2}}=-$( $n$ 为正整数);
(3)计算:$\sqrt{1-\frac{3}{4}} \times \sqrt{1-\frac{5}{9}} \times \sqrt{1-\frac{7}{16}} \times \mathrm{L} \times \sqrt{1-\frac{99}{2500}}$