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Evaluate : 2^((1)/(4))times4^((1)/(8))...

Evaluate :

`2^((1)/(4))times4^((1)/(8))times8^((1)/(16))times16^((1)/(32))times.......oo=?`

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Prove that: 2^((1)/(4)).4^((1)/(8)),8^((1)/(16))*16^((1)/(32)).........oo=2

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