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sum(r=1)^(oo) sum(j=1)^(oo) sum(k=1)^(oo...

`sum_(r=1)^(oo) sum_(j=1)^(oo) sum_(k=1)^(oo) (1)/(a^(i+j+k))` is equal to ( where |a| `gt` 1)

A

`(a-1)^(-3)`

B

`(3)/(a-1)`

C

`(3)/(a^(3)-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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