integrability of f(x)

Hi,

Can someone help me get started solving this problem:

let f(x) be defined as follows:

f(x) = 1, x=1, 1/2, 1/3, 1/4, 1/5, ..........
f(x) = 0 otherwise


show that f(x) is integrable on [0,1] and what is the value of the
integral?


Thanks, Ardi

.