calculus

posted by andre

Find the Maclaurin series of xcos(x^2).

  1. Steve

    well, you know that

    cos(x) = 1 - x^2/2! + x^4/4! - ...

    so,

    cos(x^2) = 1 - x^4/2! + x^8/4! - ...

    Now just multiply that by x.

    See

    http://www.wolframalpha.com/input/?i=x+cos(x%5E2)

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Calculus

    Obtain the MacLaurin series for 1/(2-x) by making an appropriate substitution into the MacLaurin series for 1/(1-x). ------------ The MacLaurin series for 1/(1-x) = Σ x^k I substitue (x-1) in for x, because 1/(2-x) = 1/(1-(x-1)) …
  2. calculus

    How do you differentiate the maclaurin series for 1/(1-x) twice to find the maclaurin series of 1/(1-x)^3.
  3. calculus

    find maclaurin series. f(x)=tanx
  4. calculus

    find maclaurin series. f(x)=log^a(1+x)
  5. calculus

    Use multiplication of power series to find the first three non-zero terms of the Maclaurin series of e^x ln(1 − x).
  6. calculus

    Use division of power series to find the first three terms of the Maclaurin series for y = sec x.
  7. Calculus

    Find a power series, centered @ x=0, for function f(x)=x/(1+2x). I know this is a maclaurin series, but my work doesn't get the right answer. Can you please show steps?
  8. Calculus

    Find a power series, centered @ x=0, for function f(x)=x/(1+2x). I know this is a maclaurin series, but my work doesn't get the right answer. Can you please show steps?
  9. Calculus

    Hi, could someone please help me with this question?
  10. Math (Calculus)

    The prompt for this question is f(x) =sin(x^2) A)Write the first four terms of the Maclaurin series for f(x) B)Use the Maclaurin series found in Part A to approximate the integral from 0 to 1 of sin(x^2) dx C)How many terms are needed …

More Similar Questions