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For a positive integer `n` let `a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot` Then `a(100)lt=100` b. `a(100)dot> 100` c. `a(200)lt=100` d. `a(200)lt=100`

A

`a (100 ) lt 100`

B

`a(100) gt 100`

C

`a(200) lt 100`

D

none of these

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