Chapter 3 - Infinite series

Question 1

definition - infinite series

Answer 1

Let n0 ∈ Z and an ∈ R for all n>0 then the sum from infinity to n0 of an is an infinite series

Question 2

algebraic limit theorem for series

Answer 2

let an and bn be convergent infinite series

1. infitie series of an + bn is convergent
2. infinite series of can is convergent

Question 3

absolutely convergent series

Answer 3

an infinite series is absolutely convergent if the series (infinite series) |an| converges