Taylor Series

Welcome to the Taylor Series category on Questions LLC! If you're interested in understanding and utilizing Taylor Series, you've come to the right place. Taylor Series is a mathematical concept commonly used in calculus and approximation theory to represent functions as infinite series expansions. Whether you're a student studying calculus, a mathematician exploring advanced topics, or simply curious about mathematical concepts, this category is here to answer all your questions related to Taylor Series. Delve into the fascinating world of series expansions and gain a deeper understanding of this powerful mathematical tool. Browse through the questions and answers provided by our knowledgeable community, or feel free to ask any specific questions you have about Taylor Series. Get ready to unlock the secrets of Taylor Series and enhance your mathematical knowledge!

Questions (38)

Find the Taylor series centered at x = -1 for the functionf(x) = x(e^x)
1. 3 answers
2. asked by maath
3. 1,481 views
Find the degree 3 Taylor polynomial approximation to the function f(x)=8ln(sec(x)) about the point a=0 .
1. 4 answers
2. asked by Gina
3. 1,985 views
Hello! I am struggling with this problem:Find the Taylor Series for sin(x-2) centered at c=3. My work so far:
1. 2 answers
2. asked by Alice
3. 510 views
Use differentiation to find the taylor series about 0 for the functiong(x)=(1/16+x)^-5/4 giving all terms up to one in x^2, and
1. 5 answers
2. asked by Kayle
3. 347 views
Use binomial series to find the Taylor series about 0 for the function f(x)=(1+x)^-3/5 giving all terms up to the one in x^4.
1. 2 answers
2. asked by Jay
3. 537 views
The function ln(x-1) can be expressed as a Taylor Series of the form sum of c(subn)(x-2)^n. Calculate the formlua for c(subn).
1. 1 answer
2. asked by Heather
3. 326 views
Use Taylor series expansion (degree 0 to 6) about x’=pi/4 to find an approximation for f(x) =cosx at point x=pi/3 and then
1. 3 answers
2. asked by jessy
3. 398 views
use the definition of a taylor series to find the Taylor series (centeredat c) for the function.f(x)= 7/x c=1 so what is f(x) as
1. 1 answer
2. asked by Em
3. 388 views
HiTrying to work with confusing Taylor series....any assistance would be much appreciated!! How can I use
1. 1 answer
2. asked by kiksy
3. 359 views
Find the Taylor series for f(x) centered at the given value of 'a'. (Assume that 'f' has a power series expansion. Do not show
1. 2 answers
2. asked by COFFEE
3. 1,164 views
I am sorry i still don't know how to start. and i am sorry for the problem earlier..it wasn't my fault :(Note that the way
1. 3 answers
2. asked by URGENT PLZ
3. 487 views
Consider the function f(x) = 10^xa) write the power series for f(x) centered at a = 2 using summation notation b) Suppose you
1. 2 answers
2. asked by Philip Martinson
3. 969 views
a) Find the Taylor series associated to f(x) = x^-2 at a = 1.Be sure to show the general term of the series. b) Find the radius
1. 1 answer
2. asked by laura
3. 968 views
Find the Taylor series of f(x) = sin(x) at a = Pi/3.
1. 2 answers
2. asked by Bryan
3. 933 views
If ∑ n=0 to inf of 3x^n/n! is a Taylor series that converges to f(x) for all real x, what is the value of f ''(0)?
1. 3 answers
2. asked by Anonymous
3. 669 views
Hi~ Thank you for your help!I was trying to work on a problem about Taylor series, but i don't think im approaching the problem
1. 2 answers
2. asked by KIKSY
3. 675 views
how do i use a taylor series centered at some x value to approximate the value of the function centered at a different x value?f
1. 2 answers
2. asked by Marli
3. 639 views
Find the first four non-zero terms and the general term for the Taylor Series centered at c = 1 for the integral of ln(x).
1. 2 answers
2. asked by Joe Bob
3. 601 views
find the taylor series f(x)1/2(e^x + e^-x) ;x=0
1. 2 answers
2. asked by soffy
3. 589 views
what is the taylor series of f(x) = sin(x) at a=pi/3
1. 5 answers
2. asked by Marianne
3. 576 views
1. Use the Taylor series to calculate the limit.Problem: limit as x approaches 0 is equal to (1-cos(x))/(1+x-e^x). I did the
1. 2 answers
2. asked by Joshua
3. 598 views
Use the series for f(x)=1/(1-x) to write the series for g(x)=Ln|1-x|a) C+ Ln|1+ x + x^2 + x^3+......| b) C+ 2+ 2x+ 3x^2 c) C+ x+
1. 4 answers
2. asked by Alice
3. 571 views
How do you differentiate the maclaurin series for 1/(1-x) twice to find the maclaurin series of 1/(1-x)^3.
1. 2 answers
2. asked by Paul
3. 569 views
Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My
1. 1 answer
2. asked by Steven
3. 548 views
Maclaurian' series example "f(x)=tanx" give me answer
1. 2 answers
2. asked by Swapnil
3. 498 views
find taylor series...a.f(x)=x^3-2x+4,a=2
1. 2 answers
2. asked by daan
3. 497 views
Expand f(x)=ln (1+x/1-x) in a Taylor Series about x=0. You must express your answer using summation notation.---This is what I
1. 2 answers
2. asked by A.
3. 492 views
Use the binomial series to find the Taylor series about 0 for the functionf(x) = (1 + x)−3/5, giving all terms up to the one
1. 1 answer
2. asked by s17
3. 498 views
find the taylor series for f(x)=cos(x) centered at a=pie/4see this: http://en.wikipedia.org/wiki/Taylor_series Here you will get
1. 1 answer
2. asked by URGENTTTT
3. 482 views
ﬁnd the ﬁrst three non-zero terms of the Maclaurin expansion of y = f (x)where the function is deﬁned implicitly by x^2 +
1. 1 answer
2. asked by Mark
3. 493 views
How would you do this problem, I am stuck.Find the Taylor series of f(x)=1/x centered at x=2.
1. 2 answers
2. asked by Jack
3. 492 views
What is the Taylor series generated by g(x) = x^3-2x+2 at a=5?
1. 3 answers
2. asked by Anonymous
3. 466 views
Hello,I am learning about Taylor series in school, but they are quite confusing.. Can you please explain how I should do this
1. 2 answers
2. asked by Kiksy
3. 492 views
Write the first four nonzero terms and the general term of the Taylor serires for f about x=0. f(x)=2x/(1+x^2)I feel that I'm
1. 1 answer
2. asked by W
3. 468 views
Find the Taylor formula up to n=3 for f(x)=sin(x) at X0=pi/3:sin(x)=a0+a1(x-pi/3)+a2(x-pi/3)^2+a3(x-pi/3)^3+R3 Use this formula
1. 1 answer
2. asked by Chan
3. 465 views
Thankyou very much!I'm having trouble with this question about taylor series. how would i go about doing the following questoin?
1. 1 answer
2. asked by KIKSY
3. 472 views
Find the general expression of the kth nonzero term in the taylor series f(x) = 3/(1+x), for k= 0, 1, 2,...
1. 1 answer
2. asked by John Lewis
3. 437 views
using appropriate taylor series to find the first four nonzero terms of an infinite series that equal to ln(4/3).
1. 1 answer
2. asked by D
3. 21 views