A) 2
B) 3
C) 4
D) 9
Correct Answer: A
Solution :
\[{{4}^{1/3}}{{.4}^{1/9}}{{.4}^{1/27}}......\infty \] \[\therefore \]\[S={{4}^{1/3+1/9+1/27}}......\infty \] \[\Rightarrow \]\[S={{4}^{\left( \frac{1/3}{1-1/3} \right)}}={{4}^{\frac{1/3}{2/3}}}\]\[\Rightarrow \]\[S={{4}^{1/2}}\]\[\Rightarrow \]\[S=2\].
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