MathDB

Even Function

Source: 1998 National High School Mathematics League, Exam One, Problem 7

March 9, 2020

function

Problem Statement

f(x)

is an even function with period of

2

. If

f(x)=x^{\frac{1}{1000}}

when

x\in[0,1]

, then the order of

f\left(\frac{98}{19}\right),f\left(\frac{101}{17}\right),f\left(\frac{104}{15}\right)

is________(from small to large).