Question

What will be the value of 2^1/3 x 2^1/6 x 2^1/12... to infinity. 

(a) 2² 

(b) 2^2/3 

(c) 2^3/2 

(d) 8

Answer 1

Correct option (b) 2^2/3

Explanation:

The expression can be written as 2^1/3+1/6+1/12+.… = 2^{INFINTE SUM OF THE GP} = 2^2/3.