?(a) Approximate $f$ by a Taylor polynomial with degree $n$ at the number $a$.(b)

Chapter 11, Problem 21

(choose chapter or problem)

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

(b) Use Taylor's Inequality to estimate the accuracy of the approximation $f(x) \approx T_{n}(x)$ when $x$ lies in the given interval.

$f(x)=x \sin x, a=0, n=4,-1 \leqslant x \leqslant 1$

Equation Transcription:

$f$

$n$

$a$

$f(x)\approx{}{T}_{n}(x)$

$x$

$\left|{{R}_{n}(x)}\right|$

$f(x)=x\ sin\ x,\ a=0,\ n-4,$ $-1$ ⩽ $x$ ⩽ $1$

Text Transcription:

f(x)approxT_n(x)

|R_n(x)|

f(x)=x sin x,a=0,n-4,-1 leqslant x leqslant 1

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

?(a) Approximate \(f\) by a Taylor polynomial with degree \(n\) at the number \(a\).(b)