I need to prove that the product of 1/2 * 3/4 * 5/6 . . . 99/100 is less than 1/10. I understand that the product will continue to approach zero at a decreasing rate as the series progresses, but I need a mathematical explanation (of the most simple terms possible) as to why the product is less than 1/10.
Thank you very much, this problem has been driving me crazy. I'm in calculus 3, so this may be in the wrong section, but calculus 2 is the bound of my knowledge. If at all possible, lets keep it that simple. If not, blow me away anyways.