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Consider the convergent series:

$$\frac{1}{2}+\frac{1}{2}+\frac{1}{4}+\frac{1}{4}+\frac{1}{8}+\frac{1}{8}+\ldots.$$

Do the root and ratio tests indicate that the series converges?

Both tests indicate the series converges.

The root test indicates convergence, but the ratio test is inconclusive.

The ratio test indicates convergence, but the root test is inconclusive.

Both tests are inconclusive.