Give an example of sequence xn of rational numbers that conv

Give an example of sequence (x_n) of rational numbers that converges to a irrational number x.

Solution

As we know , the limit as below is a general result

Lim(n -> ) (1+1/n)ⁿ = e

where e is an irrational number

Hence , the sequence a_n = ( 1 + (1/n) )ⁿ is a rational number