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Question

The product of infinite terms in x12.x14.x18........... is


A

0

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B

infinity

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C

1

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D

x

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Solution

The correct option is D

x


x12.x14.x18...........
=x(12+14+18+.....+)
=x(12+(12)2+(12)3+.....+)
Consider
12+(12)2+(12)3+.....+S=a1r=12112=1x(12+(12)2+.........+)=x1=x


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