Q1 Convergence of series using Limit Comparison Test If the series sum_(n=1)^( infty ) a_(n) converges and a_(n)0 for all n, which of the following must be true? (A) , lim_(n- infty )|(a_(n+1))/(a_(n))|=0 |a_(n)|

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Q1 Convergence of series using Limit Comparison Test If the series

\sum_(n=1)^(\infty ) a_(n)

converges and

a_(n)>0

for all

n

, which of the following must be true? (A)

,\lim_(n->\infty )|(a_(n+1))/(a_(n))|=0

|a_(n)|<1

for all

n

\sum_(n=1)^(\infty ) a_(n)=0

\sum_(n=1)^(\infty ) na_(n)

diverges

\sum_(n=1)^(\infty ) (a_(n))/(n) converges

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