This lesson includes 5 additional questions and 45 additional question variations for subscribers.
Lesson Worksheet: Lagrange Error Bound Mathematics • Higher Education
In this worksheet, we will practice using the Lagrange error bound (Taylor’s theorem with remainder) to find the maximum error when using Taylor polynomial approximations.
Q4:
Determine the least degree of the Maclaurin polynomials needed for , approximating where .
- A
- B
- C
- D
- E
Q5:
Determine the least degree of the Maclaurin polynomials for , approximating where .
- A
- B
- C
- D
- E
Q6:
Find the Lagrange error bound when using the third Talyor polynomial for the function at to approximate the value of .
- A
- B
- C
- D
- E
Q7:
Determine the lowest degree of the Maclaurin polynomial needed to approximate the function in the interval with an error less than 0.001.
- A15
- B17
- C16
- D19
- E18
Q8:
Determine the lowest degree of the Maclaurin polynomial needed to approximate the function in the interval with an error less than 0.001.
- A14
- B10
- C13
- D12
- E11
Q9:
Determine the lowest degree of the Maclaurin polynomial needed to approximate the function in the interval with an error less than 0.001 .
Q10:
Determine the lowest degree of the Maclaurin polynomial needed to approximate the function on the interval with an error less than 0.001 .