Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Show all steps

Question

Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Show all steps

Answer 1

lim n → ∞ Ia_nI = lim n → ∞ 1/√n = 0

Series ∑_n=1^∞_{1/√n diverges as p-series with 0 < p < 1}

_{This is alternative seres and 1/√n + 1 < 1/√n}

_{So given series conditionally converges}