Question

The value of 9^1/3.9^1/9.9^1/27..... to ∞, is

A. 1

B. 3

C. 9

D. none of these

Answer 1

Given:

We can see the above expression is GP

With first term as 1/3 and the common ratio being 1/3.

Sum of infinite terms is given by

∴ The given equation turns out to be 9^1/2 = 3.