Use the Ratio Test or the Root Test to determine if the following series converges absolutely or diverges.\\ $\sum_{k=1}^{\infty} \frac{(-10)^k}{k!}$ \\ Select the correct choice below and fill in the answer box to complete your choice.\ (Type an exact answer in simplified form.)\ A. The series converges absolutely by the Ratio Test because $r = 0$.\ B. The series diverges by the Root Test because $p = $\ C. Both tests are inconclusive because $r = $ and $p = $
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The Ratio Test states that if the limit as n approaches infinity of |a_(n+1)/a_n| is greater than 1, the series diverges. If the limit is less than 1, the series converges. If the limit is equal to 1, the test is inconclusive. Show more…
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Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. Select the correct choice below and fill in the answer box within your choice. (Type an exact answer in simplified form.) A. Both tests are inconclusive because r = and ̑p = . B. The series converges absolutely by the Ratio Test because r = . C. The series diverges by the Root Test because p = .
Adi S.
Use the Ratio Test or the Root Test to determine if the following series converges absolutely or diverges. Select the correct choice below and fill in the answer box to complete your choice. The series converges absolutely by the Ratio Test because r = The series diverges by the Root Test because ρ = Both tests are inconclusive because r = and ρ =
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