Lagrange Error Bound Calculator
Calculate the Lagrange error bound for Taylor series approximations.
Lagrange Error Bound Calculation
Results
Enter function and parameters to calculate error bound.
About Lagrange Error Bound
The Lagrange error bound provides an upper bound for the error in Taylor series approximations. It states that:
|R_n(x)| ≤ (M * |x-a|^(n+1)) / (n+1)!
Where:
• R_n(x) is the remainder/error term
• M is the maximum value of |f^(n+1)(c)| on the interval [a,x] or [x,a]
• c is some point in the interval
• n is the degree of the Taylor polynomial
Where:
• R_n(x) is the remainder/error term
• M is the maximum value of |f^(n+1)(c)| on the interval [a,x] or [x,a]
• c is some point in the interval
• n is the degree of the Taylor polynomial