Alternating Series Test (Leibniz's Theorem) for Convergence of an Infinite Series - Page 4

Questions
  • What is the interval of convergence of #sum (x^n)/(n*3^n) #?
  • What is the interval of convergence of #sum (x+2)^n / sqrt(n) #?
  • Error estimate of Alternating Series (Proof)?
  • Does the series #sum_(n=1)^oo(-1)^nlnn/sqrtn# converge or diverge?
  • How to prove that #{2^n}# is unbounded real series ?
  • How do you prove the limit of sqrt (x) = 3 as x approaches 9 using the epsilon-delta definition?