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Math Help - approximation with taylor series

  1. #1
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    approximation with taylor series

    Over the interval 3<x<5, how poorly does the tangent line at x=4 approximate   \sqrt {3+x}? How about the quadratic taylor polynomial?

    I'm really not sure of how to approach this one, help please!
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  2. #2
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    Quote Originally Posted by buttonbear View Post
    Over the interval 3<x<5, how poorly does the tangent line at x=4 approximate  \sqrt {3+x}? How about the quadratic taylor polynomial?

    I'm really not sure of how to approach this one, help please!
    Start by writing the Taylor polynomials of order 1 and 2 out.

    Now there are two approaches one is to use the remainder term for the Taylor series. The second approach is to plot the three functions over the interval (3,5).

    CB
    Last edited by CaptainBlack; April 29th 2009 at 09:24 PM.
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