9) Taylor Polynomials Flashcards
1
Q
What is a Taylor Polynomial
A
2
Q
What is the Remainder
A
3
Q
How can the Remainder be rewritten
A
4
Q
How can the derivative of a Taylor Polynomial be expressed
A
5
Q
Describe the proof of the derivative of the Taylor Polynomial (Will not ask)
A
6
Q
What is Taylor’s Theorem with Cauchy’s form of the error
A
7
Q
What is the weakness in Taylor’s Theorem with Cauchy’s form of the error
A
This result has a weakness in that the unknown c occurs in two terms on the right hand side
8
Q
What is Taylor’s Theorem with Lagrange’s form of the error
A
9
Q
Describe the proof of Taylor’s Theorem with Lagrange’s form of the error (Will not ask)
A
10
Q
What is a Taylor Series
A
11
Q
When does a Taylor Series converge and diverge
A
12
Q
Does a Taylor Series converge to f(x)
A
