Skip to content
Home
AP Calculus BC
Blog, Calendar, Notes, HW
BC Blog Page
BC Calculus Calendar
BC Class Notes
BC Calculus General Info
Homework Solutions
Chapter 10 Series
10.1 Representing Functions by Series
10.2 Taylor Series
10.3 Taylor Series Error
10.4 and 10.5 Convergence Testing
Taylor Polynomial Approximations and Error
Chapter 10 Videos – Series
My Calculus Videos
Chapter 6, 7, 8 & 9 Videos – Integral Calculus
Improper integral problems
Chapter 7 Review
Reimann Sums
Euler’s Method
Integration by Parts
Logistic Differential Equation
Chapter 3, 4, & 5 Videos and help pages– Differential Calculus
Limits, Continuity, Differentiability
Derivatives Part 1
Calculus Resources and Web Sites
Geometry
Course Info
Class Notes
Geometry Course Calendar
Geometry 465 Final Exam Review Materials
Geometry 464 Final Exam Review
Intermediate Algebra
Intermediate Algebra Documents
RMHS links
Math Team
Help Desk
RMHS Home
RMHS Athletic Schedules
Emergency School Closing
District 214 Home
AESOP
Great Math Sites
YouCubed @ Stanford
Krista King YouTube
KhanAcademy
Random Facts of Math
Other Useful Links
10.3 Taylor Series Error
Dan Jones
2018-12-06T20:47:58+00:00
10.3 Taylor Series Error
Find the 6th degree approximation for cos(1) centered at x = 0 and compute the error of the estimate
Find the 5th degree approximation for ln(1.5) and compute the error of the estimate.
Given g^(n) (3)=(-2/3)^n find the T3(x) Taylor approximation centered at x = 3.
Use the T3(x) found above to approximate g(3.2) and compute the error of the estimate, if possible.
Find the approximation of the T4(x) Taylor polynomial centered at x = 0 for 1/e and then find the error.
Using the approximation of the T4(x) Taylor polynomial centered at x = 0 for 1/e, how many terms would be necessary so that the error is within 0.0001
Find the P4 Taylor series for f(x) centered at x = 0 if f(x) = sqrt(x + 1)
Find approximation at x = -½ and compute the error.
Find the P4 Taylor series for g(x) centered at x = 1 if g(x) = ln(x)
Find approximation at x = ½ and compute the error.
Use the first 5 terms of the Maclaurin series for e^x. Use it to find an approximation for e and the error!
Given
Use
Toggle Sliding Bar Area