Therefore, it only needs to be expanded as needed.

If the piano remainder is expanded into Taylor formula, it is expanded into:

If the piano remainder is expanded into mclaughlin formula, the above formula a=0 is expanded into:

Extended data

The remainder Rn(x) of Taylor's formula can be written in the following different forms:

1 and the remaining projects in Peano:

Only the n-th derivative is needed here.

2. Remaining projects of 2.Schlomilch-Roche:

Where θ∈(0, 1) and p is any positive real number. (Note that p=n+ 1 and p= 1 correspond to Lagrange remainder and Cauchy remainder respectively)?

A determinant method for solving multivariate unknown linear equations is established. But the narrative method in the book is not very good. Later, another mathematician, Clem, rediscovered this law, so it was called Clem's Law.