Subjective Type

State whether each of the following sets is a finite set or an infinite set: $$\left \{x : x = \dfrac{n - 2} {n + 1}, n \in W, n \right )$$

Solution

$$\left \{x : x = \dfrac{n - 2} {n + 1}, n \in W, n \right ) \left \{ -2, -\dfrac{1} {2}, 0, \dfrac{1} {4}, \dfrac{2} {5}, ....... \right \}$$
It is an infinite set.

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