- #1

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## Homework Statement

I need to bound the error for [tex] \tan x [/tex] on [tex] [0, \frac{\pi}{2}] [/tex]

## Homework Equations

[tex]

R_n(x) = \displaystyle \frac{\tan^{n+1}(\zeta)}{(n+1)!}x^{n+1}

[/tex]

## The Attempt at a Solution

So...I thought that the error should go to 0 since the factorial will eventually overtake the polynomial. Then, I thought that this logic might break down since [tex] \tan x [/tex] goes to infinity on the interval. Am I overthinking this?

Thanks!