[Solved] Determine the value of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x)= sin x ≈
Question: Determine the value of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.
\(f(x)=\sin x \approx x-\frac{x^{3}}{3 !}\)
Deliverable: Word Document 
![[See Steps] Find the radius of convergence](/images/solutions/MC-solution-library-54668.jpg "[See Steps] Find the radius of convergence of the power series.")
[See Steps] Find the radius of convergence of the power series.
![[See Solution] Find the interval of convergence](/images/solutions/MC-solution-library-54669.jpg "[See Solution] Find the interval of convergence of the power series.")
[See Solution] Find the interval of convergence of the power series.
![[All Steps] Find the interval of convergence](/images/solutions/MC-solution-library-54670.jpg "[All Steps] Find the interval of convergence of the power series.")
[All Steps] Find the interval of convergence of the power series.
![[Solution] Find the intervals of convergence of](/images/solutions/MC-solution-library-54671.jpg "[Solution] Find the intervals of convergence of (a) f(x), (b)")
[Solution] Find the intervals of convergence of (a) f(x), (b)
(Steps Shown) Let f(x)=∑_n=0^∞ (x^n)/(n !). Find the
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