Question

Prove that 9^1/3.9^1/9.9^1/27......=3

Answer 1

Answer:

Step-by-step explanation:

Let s=1/3+1/9+1/27+...........to infinity.

Here a=1/3. r=1/3

S=a/1-r

S=1/3/1-1/3

S=1/2

9^1/2

=3