10. Infinite Sequences and Series

Lagrange Error Bound — Quiz

Test your understanding of lagrange error bound with 5 practice questions.

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Practice Questions

Question 1

What does the Lagrange Error Bound estimate for a Taylor polynomial approximation?

Question 2

Which formula represents the Lagrange Error Bound for a Taylor polynomial centered at $a$?

Question 3

A Taylor polynomial is centered at $a=0$. If $|f^{(4)}(x)|\le 24$ on the interval from $0$ to $x$, what is the Lagrange Error Bound for the third-degree Taylor polynomial at that $x$?

Question 4

If $|f^{(3)}(x)|\le 12$ on the interval between $0$ and $0.5$, what is the Lagrange Error Bound for the second-degree Taylor polynomial centered at $0$?

Question 5

Which statement best describes the role of $M$ in the Lagrange Error Bound?