Question

there exist infinite rational numbers
between any two rational numbers​

Answer 1

True.

Explanation :

They exists infinite rational and irrational numbera between two rational numbers.

Answer 2

Answer:

Yes , there exist infinite rational numbers

between any two rational numbers

Step-by-step explanation:

There are infinitely many rational numbers between 0 and 1 .We can actually create a fairly simple infinite list of rational numbers between any two rational numbers. Let’s say we have two rational numbers x,y with x<y . Then the sequence x+y−x2,x+y−x3,x+y−x4,… is an infinite sequence of rational numbers between x and y . These are clearly greater than x and they’re greater than x by less than the difference between x and y , so they’re also less than y , meaning they’re between x and y .

This sequence is clearly all rational and there are infinitely many values, as there is a value x+y−xn+1 for any positive integer n .