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Some functions cannot be evaluated by normal means and you need an infinite series to get approximate answers.

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What is the Taylor expansion?

A Taylor expansion is a way of representing a function in terms of a sum of its derivatives. Please see the link.


Using the remainder formula for the Taylor polynomial approximation estimate the error in your approximation to sin n?

If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!


What problem-solving techniques will help you make good decisions?

Well There are many problem-solving techniques but the one's that are going to help you are the ones where you choose to be Involved. Math techniques also help you in life.-Taylor Ellen Marie Erikson


What is the differentence between calculus and vector calculus?

Hence the reason for why it is called Vector Calculus, Vector Calc. is simply an expansion in the calculus subject are in math. It deals with Taylor's Formula (in calc 2 you learn the taylor polynomial and the taylor series), theorems from Green, Gauss, and Stokes, and much more.


How are Taylor series used in the real world?

Taylor series are widely used in various fields of science and engineering to approximate complex functions with polynomial expressions, making calculations simpler and more efficient. For example, they are essential in numerical methods for solving differential equations, optimizing algorithms in computer science, and modeling physical systems in physics and engineering. Additionally, Taylor series enable the analysis of functions near specific points, which is valuable in fields like economics for forecasting and in machine learning for optimization techniques. Overall, their ability to provide accurate approximations facilitates problem-solving across numerous applications.

Related Questions

What is Taylor series?

give the expansion of Taylor series


What is the Taylor expansion?

A Taylor expansion is a way of representing a function in terms of a sum of its derivatives. Please see the link.


What has the author Donald Robert Taylor written?

Donald Robert Taylor has written: 'The thermal expansion of copper at low temperatures' -- subject(s): Copper, Expansion (Heat), Physics Theses


What problems did Taylor swift have?

taylor awift i dont think had a promblem


What has the author Mona Dell Taylor written?

Mona Dell Taylor has written: 'Problems in elementary algebra ..' -- subject(s): Problems, exercises, Algebra


Using the remainder formula for the Taylor polynomial approximation estimate the error in your approximation to sin n?

If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!If you use n terms from the Taylor expansion, the absolute value of the error is less than [|x|^(2n+1)]/(2n+1)!


What were the problems that Grant Taylor was facing?

the problems he was facing was doing everyones mom too much


Does Taylor Swift have any problemes?

For me,all persons have problems either financial,family problems,friends,business,career and others.So,maybe Taylor Swift has problems,too,but she is not showing it to her fans because celebrities always smile even though they have problems.


Is Elizabeth Taylor sick?

Yes she has old age problems.


What probloms has Taylor Swift had?

Boy problems. Kanye West.


Is there any problems that Taylor Swift is having?

absolutley not Taylor is a perfectly heatlhty clean teenager she does not have any dilemas at all so stop bothering to see if she has any problems she has the right to her own personal life if Taylor sees this answer im your BIGGEST fan


What is the expansion of angle sin?

The expansion as in Taylor series for sin(x) is: sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...