Question

Prove that 9^1/3 . 9 ^1/9 . 9^1/27 ................ = 3

Answer 1

Step-by-step explanation:

=9^(1/3+1/9/1/27......)

Let the power be S

S=1/3+1/9+1/27.....

-S/3= 1/9-1/27.....

=2S/3=1/3

S=1/2

Put in the series

=9^S

=9^1/2

=3