(1-\frac{1}{2^{2}})(1-\frac{1}{3^{2}})(1-\frac{1}{4^{2}})...(1-\frac{1}{2013^{2}})
=(1+\frac{1}{2})(1-\frac{1}{2})(1+\frac{1}{3})(1-\frac{1}{3})...(1+\frac{1}{2013})(1-\frac{1}{2013})
=[(1+\frac{1}{2})(1+\frac{1}{3})...(1+\frac{1}{2013})][(1-\frac{1}{2})(x-\frac{1}{3})...(1-\frac{1}{2013})]...