Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. [infinity] n = 1 n2/5n n = 1
lim n→[infinity] an + 1/an =
a. converges
b. diverges

Step-by-step explanation:

If is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

If < 1, the series converges absolutely

If , the series diverges

If , the test fails.

Given the series

To test for convergence or divergence using ratio test, we will use the condition above.

aₙ₊₁/aₙ =

note that any constant dividing infinity is equal to zero

Since The limit of the sequence given is less than 1, hence the series converges.

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step-by-step explanation: