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The simplified value of ((1+1/(1+1/100))...

The simplified value of `((1+1/(1+1/100))(1+1/(1+1/100))-(1-1/(1+1/100))(1-1/(1+1/100)))/((1+1/(1+1/100))+(1-1/(1+1/100)))` is

A

100

B

`200/101`

C

200

D

`202/100`

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The correct Answer is:
B
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The simplified value of (1+(1)/(1+(1)/(100)))(1+(1)/(1+(1)/(100)))-(1-(1)/(1+(1)/(100)))(1-(1)/(1+(1)/(100))) (a) 100( b) (200)/(101) (c) 200 (d) (202)/(100)

The simplified value of (1-1/3) (1- 1/4) (1-1/5) …(1-1/(99)) (1- (1)/(100)) is

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The simplification of (1-(1)/(2)) ( 1- (1)/(3)) ( 1-(1)/(4))...(1-(1)/(100)) results in :

[(1+(1)/(10+(1)/(10)))(1+(1)/(10+(1)/(10)))-(1-(1)/(10+(1)/(10)))(1-(1)/(10+(1)/(10)))] simplifies to (20)/(101) (b) (90)/(101) (c) (100)/(101) (d) (101)/(100)

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