# Limits of Infinite Sequences

### Topic Page

Limits of Infinite Sequences### Questions

- What is meant by the limit of an infinite sequence?
- What are common mistakes students make when finding the limit of an infinite sequence?
- How do I find the limit of a convergent sequence?
- What is the limit of the Fibonacci sequence?
- What is meant by a convergent sequence?
- What are two examples of convergent sequences?
- What is meant by a divergent sequence?
- What are two examples of divergent sequences?
- How can I tell if a sequence converges?
- What is a fraction sequence?
- What are the strengths and weaknesses of the Fibonacci sequence?
- How can we prove using mathematical induction that #n^2+n+1# is an odd number if n is a natural number?