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Single Variable Calculus

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Efficacy of the Root and Ratio Tests I

SVCALC-BPJ1L1

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?

A

Both tests indicate the series converges.

B

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

C

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

D

Both tests are inconclusive.