Tính A= (\(\dfrac{1}{2^2}\)-1) .( \(\dfrac{1}{3^2}\)-1).(\(\dfrac{1}{4^2}\)-1)....(\(\dfrac{1}{100^2}\)-1)
So sánh A= 1+\(\dfrac{1}{2^2}\)+\(\dfrac{1}{3^2}\)+\(\dfrac{1}{4^2}\)+...+\(\dfrac{1}{100^2}\) với 2
Rút gọn biểu thức D= (1-\(\dfrac{1}{2}\) ).(1-\(\dfrac{1}{3}\))....(1-\(\dfrac{1}{2015}\))
Rút gọn biểu thức A= \(\dfrac{3}{4}\).\(\dfrac{8}{9}\).\(\dfrac{15}{16}\).\(\dfrac{24}{25}\)...\(\dfrac{899}{900}\)