(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find an interval I such that the tangent line error bound is always less than or equal to 0.01 on I

f(x) = ln(x)

b = 1

3. The attempt at a solution

so basically, i found the tangent line approximation at b = 1, which is t(x) = x -1.

From there though, i have no idea how to continue.

I figured out that abs[f(x) - t(x)]is always supposed to be less than 0.01 on I, but i have no idea how to find I.

thanks alot.

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# Homework Help: 1st degree taylor polynomial question

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