IGNOU MST 1 2026 - Set having values is countable.

Question

Set having values $\frac{1}{2}, \frac{1}{2^2}, \frac{1}{2^3}, \frac{1}{2^4}, \frac{1}{2^5}, \frac{1}{2^6}, \dots$ is countable.

19 Jan 2026

Answer :

Word Count : 104

The given set is [ \left{\frac{1}{2}, \frac{1}{2^2}, \frac{1}{2^3}, \frac{1}{2^4}, \frac{1}{2^5}, \frac{1}{2^6}, \dots \right}. ] We can observe that each element can be written as (\frac{1}{2^n}) where (n \in \mathbb{N}) (the set of natural numbers). Since there exists a

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