Question

Prove that the set {1,4,9,16,25,...} is countable

Answer 1

Answer:

Step-by-step explanation:

Define the set S = { 1 , 4 , 9 , 16 , 25 , ... }

Let f : N -----> S

          n -----> n^2

f is a bijection!. Then N and S have same cardinality.

S is countable