Posted by **angel** on Monday, December 10, 2012 at 12:34pm.

prove that 1/2 * 1/3 * 1/4 * ... ..... ... ..... ..... .... ....... .... ... ....1/99 < 1/2

- maths --plse help me.. -
**Steve**, Monday, December 10, 2012 at 3:56pm
1/2 * 1/3 < 1/2

all the rest of the fractions are less than 1, so the more of them you multiply by, the smaller the product gets.

you have 1/2 * a*b*c*d*... where each of a,b,c,d,... < 1

or, you have 1/99! = 1/2 * 2/99! < 1/2

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