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Don't they look equal?

Algebra Level 3

$A = \dfrac{99^{999} + 1}{99^{1000}+1} \hspace{1.5cm} B = \dfrac{99^{1000}+1}{99^{1001}+1}$

Which of $A$ and $B$ is greater?

Both are equal

B

A

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by Anuj Shikarkhane

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