For a positive integer n, Let\[a\,(n)=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{({{2}^{n}})-1}\]. Then [IIT 1999]

For a positive integer n, Let\[a\,(n)=1+\frac{1}{2}+\frac{1}{3}+\frac{

1.	For a positive integer n, Let\[a\,(n)=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{({{2}^{n}})-1}\]. Then [IIT 1999]
A.	\[a\,(100)\le 100\]
B.	\[a\,(100)>100\]
C.	\[a\,(200)\le 100\]
D.	\[a\,(200)>100\]
Answer» B. \[a\,(100)>100\]

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For a positive integer n, Let\[a\,(n)=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{({{2}^{n}})-1}\]. Then [IIT 1999]

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