The value of 91-3- 91-9- 91-27- - is

The correct option is C 3 (9)^S_∞ = 9^1/2 = 3∵ S_∞ = 1/31 (1/3) = 12 . ...

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Sum of Infinite Terms of a GP

The value of ...

Question

The value of $9^{1 / 3} \times 9^{1 / 9} \times 9^{1 / 27} \times . . . . . \infty$ is

9

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1

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3

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None of these

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The value of $9^{\frac{1}{3}} {.9}^{\frac{1}{9}} {.9}^{\frac{1}{27}} . . . . .$ to $\infty$ is

x = 9^{1 / 3} \cdot 9^{1 / 9} \cdot 9^{1 / 27} \dots \infty; y = 4^{1 / 3} \cdot 4^{- 1 / 9} \cdot 4^{1 / 27} \dots \infty

z = \infty \sum r = 1 (1 + i)^{- r}

p = x + y z

- {tan}^{- 1} \frac{\sqrt{a}}{b}

a^{2} + b^{2}

a

b

(1 + cos \frac{π}{9}) (1 + cos π \frac{3 π}{9}) (1 + cos \frac{5 π}{9}) (1 + cos \frac{7 π}{9}) = \frac{9}{16}

Prove that :

$(9^{\frac{1}{3}} {.9}^{\frac{1}{9}} {.99}^{\frac{1}{27}} {.169}^{\frac{1}{32}} . . . . . \infty) = 3.$

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