- #1

woe_to_hice

## Homework Statement

I've been reviewing some Taylor polynomial material, and looking over the results and examples here.

https://math.dartmouth.edu/archive/m8w10/public_html/m8l02.pdf

I'm referring to Example 3 on the page 12 (page numbering at top-left of each page). The question is asking about an upper bound on the error.

## Homework Equations

## The Attempt at a Solution

I was able to get the result in the PDF, but in the discussion of the example, the authors mention that there is a logical issue with using an exact value of e^(0.2) while we're approximating f(x) = e^x . As an alternate bound the authors propose using f

^{(5)}(c) < 2 .

Can anyone tell me where the justification for this value of 2 comes from? Why is this a proposed value for an upper bound?

Last edited by a moderator: