# What is Lagrange Error and how do you find the value for #M#?

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I know the formula

#R_n le frac{M}{(n+1)!}|x-a|^(n+1)# , but I'm confused as to how to find #M# .

I know the formula

##### 1 Answer

#### Explanation:

Consider the Taylor series of a function

If we stop the Taylor series at

where:

and it can be demonstrated that rest can be expressed as:

Applying the second theorem of the mean to this integral we have:

where

Clearly if in the interval delimited by

then: