Find the product of an infinite number of terms- 31-2- 31-4- 31-8- 31-16- -

The correct option is D 3 3^1/2×3^1/4×3^1/8× ....... = 3^1/2 +1/4 + 1/8 +1/16+.... = 3^1/2/1 1/2 = 3 ...

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Find the prod...

Question

Find the product of an infinite number of terms: $3^{\frac{1}{2}} \times 3^{\frac{1}{4}} \times 3^{\frac{1}{8}} \times 3^{\frac{1}{16}} \times . . . .$

3^{\frac{1}{2}}

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\sqrt[4]{3}

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3^{2}

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2^{n d}, 31^{s t}

\frac{31}{4}, \frac{1}{2}, \frac{- 13}{2}

\frac{{(3 \frac{2}{3})}^{2} - {(2 \frac{1}{2})}^{2}}{{(4 \frac{3}{4})}^{2} - {(3 \frac{1}{3})}^{2}} \div \frac{3 \frac{2}{3} - 2 \frac{1}{2}}{4 \frac{3}{4} - 3 \frac{1}{3}}

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