Question

Chứng Minh : -1/2.3/4.5/6.....2499/2500 >-1/-7^2

Answer 1

A=\(\frac{1}{2}.\frac{3}{4}.\frac{5}{6}.....\frac{2499}{2500}\)

B=\(\frac{2}{3}.\frac{4}{5}.\frac{6}{7}....\frac{2500}{2501}\)

A.B=\(\frac{1.2.3.4.5....2499.2500}{2.3.4.5.6......2499.2500.2501}=\frac{1}{2501}\)

so sanh A.A va A.B

ta cm duoc \(\frac{1}{2}