Q. 64.0( 4 Votes )

Prove that 91/3 × 91/9 × 91/27 × ….. = 3

Answer :

L.H.S=91/3 × 91/9 × 91/27 × …..


=9(1/3)+(1/9)+(1/27)+…∞


The series in the exponent is an infinite geometric series


Whose, a



Sum of the series in the exponent


L.H.S=91/2


=3=R.H.S


Hence, Proved that 91/3 × 91/9 × 91/27 × ….. = 3


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