5. For what value or values of
a
, if any, does the given series converge?
\sum_(n=1)^(\infty ) (1)/(an+b),a>0,b>0
6. Determine whether each series is convergent-or divergent. Carefully explain your reasoning. a)
\sum_(n=1)^(\infty ) (1+3^(n))/(1+4*3^(n))
b)
\sum_(n=0)^(\infty ) (n-1)/(5\sqrt(n^(5))+1)