## Taylor and Maclaurin Polynomials: Series Truncation Error

The nth partial sum of the Taylor series for a function f f at a a a is known as the nth Taylor polynomial.

## 6.3 Taylor and Maclaurin Series

For the function \begin{align*}f(x)=\tan xend{align*} Find the Taylor polynomial of second degree in \begin{align*}x_0=\frac{\pi}{4}

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## Topic 5 Local Functional Approximation: Taylor Polynomial

Global approximations consist of obtaining polynomials that closely resemble the starting function over an entire interval. The polynomial coincides with the

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