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Symmetrically Bounded?

Calculus Level 2

If $a$ and $b$ are reals such that $a-\dfrac { 1 }{ n } \le b \le a+\dfrac { 1 }{ n }$ for all positive integers $n$ , then which of the following is true?

a<b

a=b

a>b

It's impossible to tell

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by Mohammad Hamdar

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