Q. The product of $x^{1/2} \cdot x^{1/4} \cdot x^{1/8} \dots \infty$ equals

1949 255 Bihar CECEBihar CECE 2011 Report Error

A

0

B

1

C

x

D

$\infty$

Solution:

$x^{(1/2 + 1/4 + 1/8 + \dots (0\infty)} = x^{(\frac{1/2}{1 - 1/2})} = x$