6

likewhoa · Posted: Tue Nov 20, 2007 12:50 am Post subject: 6

For any integer greater than 1, the symbol K* denotes the product of all the fractions of the form 1/t, where t is an integer betweek 1& K, inclusive. What is the value of 5*/4*?

1/5

mschling52 · Posted: Tue Nov 20, 2007 10:36 am Post subject:

From the definition of the function,

5* = (1/1)(1/2)(1/3)(1/4)(1/5)
4* = (1/1)(1/2)(1/3)(1/4)

so, dividing 5* by 4*, all the fractions in the numerator cancel out with equal fractions in the denominator except for 1/5.