# Unit 6: Infinite Series**

## Prereq Test 6

Prereq Test 6

## Intro

Intro

A sum of infinitely many terms may converge to a finite value. This understanding will be further developed by exploring graphs, tables, and symbolic expressions for series that converge and diverge and for Taylor polynomials. It is paramount to understand previous concepts such as improper integrals.

The most important question related to this unit:

How can the sum of infinitely many discrete terms be a finite value or represent a continuous function?

## Inquiry Activity 6

Inquiry Activity 6

## Key Terms

Key Terms

## Unit 6 Podcast (coming soon)

Unit 6 Podcast (coming soon)

## 6.1 Power Series

6.1 Power Series

## 6.2 Taylor Series and Taylor's Theorem

6.2 Taylor Series and Taylor's Theorem

### 6.2.2 Lagrange Error Bound

6.2.2 Lagrange Error Bound

## 6.3 Convergence Tests

6.3 Convergence Tests