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

Answer 1

1/2376 < 1/2

When the numerators are the same, the number with the smaller denominator is larger.

Answer 2

plse explain in detail...

Answer 3

I did

Answer 4

this is no a proper method..
u have done correct , no doubt , but i want step by step

Answer 5

1/2 * x < 1/2 if x < 1
all those fractions out there are less than 1, so the product keeps getting smaller and smaller