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What is the value of 0.9+0.09+0.009+... ...

What is the value of `0.9+0.09+0.009+...` equal to?

A

1

B

1.01

C

1.001

D

1.1

Text Solution

Verified by Experts

The correct Answer is:
A

`S=0.9+0.09+0.009+...`
`=9(0.1+0.01+0.001+...)`
`=9[(0.1)/(1-0.1)]=9xx(0.1)/(0.9)=1`
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