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The value of 9^(1//3)xx9^(1//9)xx9^(1//2...

The value of `9^(1//3)xx9^(1//9)xx9^(1//27)xx……` to `oo` is

A

9

B

3

C

1

D

None of theses

Text Solution

Verified by Experts

The correct Answer is:
B
`9^(1//3)xx9^(1//9)xx9^(1//127)xx…oo=(9)^([(1)/(3)+(1)/(9)+(1)/(27)+….oo])=9^((1)/(3)((1)/(1-1//3)))=9^(1//2)=3`
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