For each of the series below you find two answer fields. In the first answer field enter: (inputs are case sensitive) -inf if the series assumes the limit -∞ R if the series converges to a number R+ if the series converges absolutely to a number +inf if the series assumes the limit +∞ DNE if the series has no limit in real number line R In the second answer field select one of the following tests if it can be used to prove your claim in the first answer field: IT AST Geo RootT RatioT LASN LASE LC ∞ n=1 Check Integral Test for Alternating Series Test for comparison with a geometric series with r < 1. Root Test RatioTest The limit of absolute values of summands does not exist. The limit of absolute values of summands exists but is not 0. Limit comparison with the harmonic series Σ(-1)" tan(2/n) Σ(-1)" (1 – 7)" n=1 because because ∞ k=0 ?

For each of the series below you find two answer fields. In the first answer field enter: (inputs are case sensitive) -inf if the series assumes the limit -∞ R if the series converges to a number R+ if the series converges absolutely to a number +inf if the series assumes the limit +∞ DNE if the series has no limit in real number line R In the second answer field select one of the following tests if it can be used to prove your claim in the first answer field: IT AST Geo RootT RatioT LASN LASE LC ∞ n=1 Check Integral Test for Alternating Series Test for comparison with a geometric series with r < 1. Root Test RatioTest The limit of absolute values of summands does not exist. The limit of absolute values of summands exists but is not 0. Limit comparison with the harmonic series Σ(-1)" tan(2/n) Σ(-1)" (1 – 7)" n=1 because because ∞ k=0 ?