Develop this function into maclaurin series

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Homework Help Overview

The original poster seeks assistance in developing a function into its Maclaurin series representation. The context involves polynomial approximations and the process of taking derivatives to find coefficients.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss setting up a polynomial approximation and the method of taking derivatives to determine coefficients. There is mention of using a calculator for verification of results.

Discussion Status

Some participants have provided guidance on the approach to take, while others have noted potential errors in the original poster's attempt, specifically regarding signs in the expression. Multiple interpretations of the function's development are being explored.

Contextual Notes

There are indications of issues with uploaded content, which may affect the clarity of the discussion. Participants are also addressing specific details about the function being approximated.

asi123
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Homework Statement



Hey.
I need to develop this function into maclaurin series.
Did I do it correctly?

Homework Equations





The Attempt at a Solution

 

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Your picture didn't seem to get uploaded right.

But all you want to do is set up a polynomial approximation, like sin(x) = a + bx + cx^2 + dx^3 (and so on), and then keep taking derivatives on both sides until you can solve for a, then b, then c, and so on.

If you have TI-89 you can check you results by going to the algebra menu and entering taylor if your center is 0.
 
Last edited:


Alex6200 said:
Your picture didn't seem to get uploaded right.

But all you want to do is set up a polynomial approximation, like sin(x) = a + bx + cx^2 + dx^3 (and so on), and then keep taking derivatives on both sides until you can solve for a, then b, then c, and so on.

If you have TI-89 you can check you results by going to the algebra menu and entering taylor if your center is 0.

It looks pretty good. Except I think you are off by an overall sign. 6-5x-x^2=-(x-1)(x+6).
 


Dick said:
It looks pretty good. Except I think you are off by an overall sign. 6-5x-x^2=-(x-1)(x+6).

Yeah, I noticed it later on, 10x.
 

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