[TEX]A=(1 + \frac{1}{2^2})(1 + \frac{1}{3^2})(1+ \frac{1}{4^2})......(1 + \frac{1}{100^2}) [/TEX]
[TEX]=\frac{5}{4}. \frac{10}{9}.\frac{17}{16}.\frac{26}{25}.... \frac{101}{10000}[/TEX]
[TEX]=\frac{5.2.5.17.2.13.........101}{2.2.3.3.4.4.......100.100}[/TEX]
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