5. Taylor Approximation

0.0(0)
studied byStudied by 0 people
GameKnowt Play
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/5

encourage image

There's no tags or description

Looks like no tags are added yet.

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

6 Terms

1
New cards

what is a

a point close to x that is easy to calculate

2
New cards

what is x

the point you are trying to approximate the value of

3
New cards

formula of 2nd order Taylor Approximation

knowt flashcard image
4
New cards

n! =

1×2×3*…*n

5
New cards

how does adding terms affect accuracy

  • increase accuracy - they account for bendiness of nonlinear functions

  • decrease accuracy - gets worse the farther a is from x

6
New cards

3 steps to solve taylor approximation

  1. set a

  2. find f(a), f’(a), f’’(a) and sub to equation

  3. Write:

    approximating e^0.1

    e^0.1 ≈ P(0.1) = …