Single Variable Calculus

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Moderate

Efficacy of the Root and Ratio Tests II

SVCALC-VYFI1G

Consider the convergent series:

$$\sum_{n=1}^\infty\frac{1}{n^2}.$$

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.