Maths

Use the 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 x4.

I have the answer; f(x)=1-3/5(x) +12/25(x^2) -52/125(x^3) + 234/625(x^4)

but i am not sure how to work out the interval validity and Use this series and the Taylor series for sinx to find the quartic Taylor polynomial about 0 for the function
f(x) = (sinx)/(1+x)^3/5

  1. 0
  2. 0
  3. 9
asked by s17

Respond to this Question

First Name

Your Response

Similar Questions

  1. Urgent help Maths Ms sue

    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. Then use this series and Taylor series for sin x to find the quartic Taylor polynomial about 0 for the

    asked by Jay on April 24, 2016
  2. Calculus

    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 the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function

    asked by KIKSY on March 8, 2011
  3. Calculus - Taylor #2

    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 that Rn(x)-->0.) f(x) = x3, a = -1 and what i've done so far: f (x) = x^3 f ' (x) = 3x^2 f '' (x) =

    asked by COFFEE on July 28, 2007
  4. Calc 2 taylor series

    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 n goes from 0 to infinity?

    asked by Em on August 1, 2011
  5. calculus-- need help desperately!

    The Taylor series about x=5 for a certain function f converges to f(x) for all x in the interval of convergence. The nth derivative of f at x=5 is given by f^(n) (5)= (-1)^n(n!)/((2^n)(n+2)), and f(5)=1/2. Write third degree

    asked by Steven on March 18, 2007
  6. Calculus

    Please.... I need your help! I posted this question yesterday and no one has answered it yet. Can anyone help me please? My question was: The Taylor series about x=5 for a certain function f converges to f(x) for all x in the

    asked by Steven on March 18, 2007
  7. Taylor seires

    f(x) =ln (1-x) a) Compute f'(x), f''(x), f'''(x). Spot the pattern and give an expression for f ^(n) (x) [the n-th derivative of f(x)] b) Compute the MacLaurin series of f(x) (i.e. the Taylor series of f(x) around x=0) c) Compute

    asked by Jill on November 26, 2006
  8. AP Calculus

    HELP! I'm in calculus class and they keep talking about Taylor series. I don't understand what's going on. Please explain what is Taylor series and what is Mclaurin series and how they are similar and how they are different.

    asked by Marvin Gay on April 5, 2018
  9. calculus

    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? for example, if im given some taylor series centered at 5 of f(x) but i want to find f(3), how do i do

    asked by Marli on March 16, 2011
  10. Calculus

    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 of convergence of the series. c)Use Lagrange's Remainder Theorem to prove that for x in the interval

    asked by laura on August 9, 2011

More Similar Questions