- #1
bomba923
- 763
- 0
Not homework! Just curious ! :
[tex]\text{Is} \; \mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}
{n}} = \mathbb{Q} \cap \left[ {0,1} \right] \; ? [/tex]
If so, then I will:
[tex] {\text{Prove that }}\mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}{n}} = \mathbb{Q} \cap \left[ {0,1} \right] [/tex]
If not, then I will:
[tex] {\text{Prove that }}\mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}{n}} \ne \mathbb{Q} \cap \left[ {0,1} \right] [/tex]
[tex]\text{Is} \; \mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}
{n}} = \mathbb{Q} \cap \left[ {0,1} \right] \; ? [/tex]
If so, then I will:
[tex] {\text{Prove that }}\mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}{n}} = \mathbb{Q} \cap \left[ {0,1} \right] [/tex]
If not, then I will:
[tex] {\text{Prove that }}\mathop {\lim }\limits_{n \to \infty } \bigcup\limits_{i = 0}^n {\frac{i}{n}} \ne \mathbb{Q} \cap \left[ {0,1} \right] [/tex]
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