The value of 2 1-4 -4 1-8 -8 1-16 - is -

The correct option is B 2 LHS = 2^1/4.4^1/8.8^1/16.16^1/32 #160; #160; #160; = 2^1/4.2^2/8.2^3/16.2^4/32 #160; #160; #160; # ...

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Complex Numbers

The value of ...

Question

The value of $2^{1 / 4} {.4}^{1 / 8} {.8}^{1 / 16} . . . . \infty$ is :

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2^{\frac{1}{4}} {.4}^{\frac{1}{8}} {.8}^{\frac{1}{16}} {.16}^{\frac{1}{32}} . . . . \infty

2^{\frac{1}{4}} . 4^{\frac{1}{8}} . 8^{\frac{1}{16}} . 16^{\frac{1}{32}} . . . . . .

2^{1 / 4} {.4}^{1 / 8} {.8}^{1 / 16} {.16}^{1 / 32}

2^{\frac{1}{4}} {.4}^{\frac{1}{8}} {.8}^{\frac{1}{16}} . 16^{\frac{1}{32}} . . . . . . . . . . . . . . . = 32^{\frac{1}{m}}

m

2^{1 / 14} {.4}^{1 / 8} {.8}^{1 / 16} {.16}^{1 / 32} . . . \infty = 2^{x}

x

\frac{1}{4} + \frac{2}{8} + \frac{3}{16} + \frac{4}{32} = . . . \infty

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