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f-x-sec-x-a-0-n-2-0-4-lt-x-lt-0-4-approximate-f-by-a-taylor-polynomial-with-degree-n-at-the-pa586

f(x)=sec(x), a=0, n=2, -0.4

`<=x<=0.4`

Approximate f by a Taylor polynomial with degree n at the number a.

```
T_(2)(x)= ?
Use Taylor's inequality to estimate the accuracy of the approximation f(x)≈T_(n)(x) when x lies in the given interval. (Round answer ro 6 decimal
places.)
|R_(2)(x)|<= ?
```