- #1
TyroneTheDino
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Homework Statement
For each ##n \in \mathbb{N}##, let ##A_{n}=\left\{n\right\}##. What are ##\bigcup_{n\in\mathbb{N}}A_{n}## and ##\bigcap_{n\in\mathbb{N}}A_{n}##.
Homework Equations
The Attempt at a Solution
I know that this involves natural numbers some how, I am just confused on a notation thing.
Is ##\bigcup_{n\in\mathbb{N}}A_{n}= \left \{ 1,2,3,... \right \}## or##\bigcup_{n\in\mathbb{N}}A_{n}= \left \{ \left\{1\right\},\left\{2\right\},... \right \}##.
To me it makes more sense that this is set of each set of every natural numbers, but somehow I think this is wrong and can't wrap my head around it.
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