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Find the value of 9^(1/3), 9^(1/9). 9^(1...

Find the value of `9^(1/3), 9^(1/9). 9^(1/27)...up` to `oo.`

A

9

B

3

C

1

D

None of these

Text Solution

AI Generated Solution

To find the value of the infinite product \(9^{1/3} \cdot 9^{1/9} \cdot 9^{1/27} \cdots\), we can follow these steps: ### Step 1: Rewrite the expression Let \(y\) be the value of the infinite product: \[ y = 9^{1/3} \cdot 9^{1/9} \cdot 9^{1/27} \cdots \] ...
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 25 | JEE - 2020-MATHEMATICS
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