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Khan Academy
Khan Academy: Calculus: Error or Remainder of a Taylor Polynomial Approximation
Video first reviews the formula for a Taylor series expansion and then defines the error function to be the difference between the polynomial approximation and the actual function. Properties of the derivatives of the error function are...
Khan Academy
Khan Academy: Calculus: Bounding the Error of a Taylor Polynomial Approximation
Video uses a property of the error function for a Taylor series expansion from the previous video to bound the (n+1)th derivative of the error function. Result is the Lagrange error bound. [15:08]
Khan Academy
Khan Academy: Bounding the Error or Remainder of a Taylor Polynomial Approx.
Video uses a property of the error function for a Taylor series expansion from a previous video to bound the (n+1)th derivative of the error function. Result is the Lagrange error bound.