\(\left(\frac{1-1}{2^2}\right)\left(\frac{1-1}{3^2}\right)...\left(\frac{1-1}{99^2}\right)\left(\frac{1-1}{100^2}\right)\)
=\(\left(\frac{0}{2^2}\right)\left(\frac{0}{3^2}\right)...\left(\frac{0}{99^2}\right)\left(\frac{0}{100^2}\right)\)
=0.0...0.0 = 0