Skip to content

Learn Practice Plan Tutors Ask AI

⌘K

Sign in Join freeGet started

Courses Lessons Quick lessons Merit Tutors' Videos

Loading

Every AP course and the SAT, with the best lessons, Merit AI, and a plan for every test.

Learn

Courses
Lessons
Quick lessons
Merit Tutors' Videos
Merit AI

Study

Exam Sprint
Quick session
Learning plan
My schedule
Progress

Tutoring

Find a tutor
Become a tutor
Partner with Merit
For teachers

Merit

About
Pricing
For parents
How ranking works
Privacy
Terms

Videos play on YouTube. AP® and SAT® are trademarks of the College Board, which is not affiliated with Merit.

© 2026 Merit

Learn Practice Plan Ask AI

AP Calculus BC›Unit 10: Infinite Sequences and Series›Taylor and power series

Taylor and Maclaurin Series

A Taylor series writes a function as an infinite polynomial built from its derivatives at one point. Maclaurin series are centered at 0.

Building the series
Series for eˣ, sin x, cos x, 1/(1−x)
Center and general term

Master this topicQuick session · about 12 min

Watch the top lessonPatrick J Find a tutor

Search Calc BC

Quiz coming up?Connect your calendar: Merit preps you for every quiz and test.Sign up and connect

30 videos ranked by how well they teach

1

❖ Taylor and Maclaurin Series - Example 1 ❖

1.8M views on YouTube · 18 years ago

Calc BC · Taylor and Maclaurin Series

2

Taylor and Maclaurin Series

118K views on YouTube · 15 years ago

Calc BC · Taylor and Maclaurin Series

3

Calculus 2: Taylor and Maclaurin Series (Part 1) | Math with Professor V

87K views on YouTube · 6 years ago

Math with Professor V

Calc BC · Taylor and Maclaurin Series

4

Finding Taylor and Maclaurin Series for Functions (Calculus 2) | Math with Professor V

43K views on YouTube · 5 years ago

Math with Professor V

Calc BC · Taylor and Maclaurin Series

5

Taylor and Maclaurin Series - An Introduction

28K views on YouTube · 7 years ago

Calc BC · Taylor and Maclaurin Series

6

Calculus II - 9.10.1 The Taylor and Maclaurin Series

6.5K views on YouTube · 5 years ago

SawFin Mathematics

Calc BC · Taylor and Maclaurin Series

7

Stewart's Calculus Chapter 11 - Taylor and MacLaurin Series

2.5K views on YouTube · 12 years ago

Calc BC · Taylor and Maclaurin Series

8

MSE101 Data Analysis - L3 Taylor and Maclaurin Series

2K views on YouTube · 10 years ago

Calc BC · Taylor and Maclaurin Series

9

Taylor Series - Finding Taylor and Maclaurin Series of Functions - Calculus

1.8K views on YouTube · 6 years ago

Calc BC · Taylor and Maclaurin Series

10

Understanding Taylor Polynomials and Approximations | Introduction to Taylor and Maclaurin Series

395 views on YouTube · 11 months ago

Calc BC · Taylor and Maclaurin Series

11

MATH 2414 - Taylor and Maclaurin Series (14): Division of Series

347 views on YouTube · 5 years ago

Calc BC · Taylor and Maclaurin Series

12

Taylor and Maclaurin Series: Evaluate Limits & Integrals (Step-by-Step)

315 views on YouTube · 6 months ago

Calc BC · Taylor and Maclaurin Series

13

10.8A - Taylor and Maclaurin Series (An Introduction) [AP Calculus BC]

71 views on YouTube · 1 day ago

MrHelpfulNotHurtful

Calc BC · Taylor and Maclaurin Series

14

Intro to Taylor and Maclaurin Series

67 views on YouTube · 2 months ago

TThe Advice of Plato

Calc BC · Taylor and Maclaurin Series

15

(25-26 Calculus BC Sessions) 10.8 Day 1: Infinite Taylor and MacLaurin Series

15 views on YouTube · 5 months ago

Calc BC · Taylor and Maclaurin Series

16

Dear Calculus 2 Students, This is why you're learning Taylor Series

522K views on YouTube · 6 years ago

Calc BC · Taylor and Maclaurin Series

17

Intro to Taylor Series: Approximations on Steroids

233K views on YouTube · 7 years ago

Dr. Trefor Bazett

Calc BC · Taylor and Maclaurin Series

18

Taylor Series and Power Series Made Easy (with Pictures): Review of Calculus

126K views on YouTube · 4 years ago

Calc BC · Taylor and Maclaurin Series

19

Worked example: Taylor polynomial of derivative function | AP Calculus BC | Khan Academy

65K views on YouTube · 11 years ago

Calc BC · Taylor and Maclaurin Series

20

Taylor Series & Maclaurin Series | Calculus 2 Lesson 35

56K views on YouTube · 3 years ago

Calc BC · Taylor and Maclaurin Series

Quiz on Taylor and Maclaurin Series soon?

Connect your class calendar and Merit lines up the lessons for every quiz and test, days before it's due.

Works with Canvas, Schoology, Blackbaud, Google Classroom, and more.

Sign up and connect

10Infinite Sequences and Series

Convergent and Divergent Series
Geometric Series
The nth Term Test for Divergence
Integral and Comparison Tests
Harmonic Series and p-Series
Alternating Series
The Ratio Test
Absolute and Conditional Convergence
Alternating Series Error Bound
Taylor Polynomials
Lagrange Error Bound
Radius and Interval of Convergence
Taylor and Maclaurin Series
Representing Functions as Power Series

Next topic

Representing Functions as Power Series

209daysGet the Calc BC score you want.Free diagnostic, then a day-by-day Exam Sprint to exam day.

Best teachers for this topic

1Math with Professor V
2XO Math
3Patrick J
4Mathispower4u

Get a Calc BC tutor

Teacher? Add a lesson or guide for this topic

Also called: taylor series, maclaurin series