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If a and b are chosen randomly from the set consisting of numbers 1,2,3,4,5,6 with replacement. Then the probability that `lim_(x to 0) [(a^(x)+b^(x)) //2]^(2//x)=6` is a)`1//3` b)`1//4`c)`1//9` d)`2//9`

A

`1//3`

B

`1//4`

C

`1//9`

D

`2//9`

Text Solution

Verified by Experts

The correct Answer is:
C
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