Find the value (in lowest terms) of the following product: (1-1/2^2)(1-1/3^2)(1-1/4^2),...,(1-1/2011^2).

Question

Find the value (in lowest terms) of the following product:  (1-1/2^2)(1-1/3^2)(1-1/4^2),...,(1-1/2011^2).

MathMate · Answer

See: http://www.jiskha.com/display.cgi?id=1299172477