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For a positive integer n let a(n)=1+1/2+...

For a positive integer n let `a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1)` then

A

`a(100)lt100`

B

`a(100)gt100`

C

`a(200)lt100`

D

`a(200)gt100`

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