Test the series for convergence or divergence. [infinity] (−1)n n5n n = 1 identify bn. evaluate the following limit. lim n → [infinity] bn since lim n → [infinity] bn 0 and bn + 1 bn for all n, . if the series is convergent, use the alternating series estimation theorem to determine how many terms we need to add in order to find the sum with an error less than 0.0001? (if the quantity diverges, enter diverges.) terms