Question

Use the ratio or roottest to determine if the following series below converge or diverge (12 points each) on

Answer 1

# D'alembent Rentio Test If Eun be a positive term series such that lim Untl = l, then na un a) Convergent, if tol b) divergent, if ki c) U=1, Test fails na1 NOVO, lim nyol Entiga - 3 x 1 - 3 > Hence, the alven given ser series is convergent

# Cauchy's with root test - Suppose un be a series of positive terms such that lim (Un) = 1 Then, nyo a) Eun is convergent, if d</ b) un is divergent, if s>l c) for U=1, test fails lim Myco innylon - lim ที ) 3t n - 021 Hence, the given is convergent . series