# Homework Help: Error Bound on Tangent Maclaurin Series

1. Nov 18, 2011

### Juanriq

Salutations! Just checking if my logic is correct.

1. The problem statement, all variables and given/known data
I need to bound the error for $$\tan x$$ on $$[0, \frac{\pi}{2}]$$

2. Relevant equations
$$R_n(x) = \displaystyle \frac{\tan^{n+1}(\zeta)}{(n+1)!}x^{n+1}$$

3. 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 $$\tan x$$ goes to infinity on the interval. Am I overthinking this?

Thanks!