question 2 (1 point) let ∑n = 1∞an be a series with nonzero terms. let ρ=limn→∞|an + 1an|. according to the…

question 2 (1 point) let ∑n = 1∞an be a series with nonzero terms. let ρ=limn→∞|an + 1an|. according to the ratio test, if ρ = 1, then ∑n = 1∞an converges absolutely. ∑n = 1∞an diverges. ∑n = 1∞an converges conditionally. the test does not provide any information.

question 2 (1 point) let ∑n = 1∞an be a series with nonzero terms. let ρ=limn→∞|an + 1an|. according to the ratio test, if ρ = 1, then ∑n = 1∞an converges absolutely. ∑n = 1∞an diverges. ∑n = 1∞an converges conditionally. the test does not provide any information.

Answer

Brief Explanations:

The Ratio Test states that for a series $\sum_{n = 1}^{\infty}a_n$ with $\rho=\lim_{n\rightarrow\infty}\left|\frac{a_{n + 1}}{a_n}\right|$, if $\rho<1$ the series converges absolutely, if $\rho>1$ the series diverges, and when $\rho = 1$, the Ratio - Test is inconclusive and does not provide any information about the convergence or divergence of the series.

Answer:

the test does not provide any information.