Evaluate 3×3^ 1/2 ×3^ 1/4 ×3^ 1/8 × ...to ∞

Explanation

To evaluate the expression \( 3 \times 3^{1/2} \times 3^{1/4} \times 3^{1/8} \times \ldots \) up to infinity, we can follow these steps:

### Step 1: Rewrite the expression
We start by rewriting the expression using the properties of exponents. The expression can be rewritten as:
\[ 3^{1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots} \]

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