Let  { 𝑎 𝑛 } 𝑛 = 0 ∞ be a sequence.  Which statements are equivalent to " { 𝑎 𝑛 } 𝑛 = 0 ∞ is divergent to ∞ " ? Select all the correct answers.多项选择题

A

∀ 𝑀 ∈ 𝑁 ,   ∃ 𝑛 0 ∈ 𝑁 ,   ∀ 𝑛 ∈ 𝑁 ,   𝑛 > 𝑛 0 ⇒ 𝑎 𝑛 > 𝑀

B

∀ 𝑀 > 0 ,   ∃ 𝑛 0 ∈ 𝑁 ,   ∀ 𝑛 ∈ 𝑁 ,   𝑛 > 𝑛 0 ⇒ | 𝑎 𝑛 | > 𝑀

C

∀ 𝑀 > 0 ,   ∃ 𝑛 ∈ 𝑁 ,   𝑎 𝑛 > 𝑀

D

∀ 𝑀 > 0 ,   ∃ 𝑛 0 > 0 ,   ∀ 𝑛 ∈ 𝑁 ,   𝑛 > 𝑛 0 ⇒ 𝑎 𝑛 > 𝑀

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