square root using Taylor series

Discussion in 'Math' started by smslca, Jun 6, 2010.

  1. smslca

    Thread Starter Member

    May 11, 2009
    26
    0
    As I am new to Taylor series, and im little confused, and in an urgent to expansion of sqrt
    I want Taylor expansion for

    sqrt{[(100*c)+21-p]^2-[8400*c]}<br />
    where "p" is constant. and "c" is variable.
    and c>=1,

    I need it in urgent.can anyone please expand it for me.
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,138
    1,789
    The first requirement is that the function be infinitely differentiable around the point of expansion. Can you differentiate this function in some neighborhood? What point do you want the expansion to be around?
     
  3. Redbelly98

    New Member

    Jan 16, 2010
    5
    0
    Often, one of the terms under the radical is known to be significantly larger than the other(s). In those cases, you'd expand around that larger term -- either
    [(100*c)+21-p]²​
    or
    [8400*c]
    in this case.

    (But if it's the latter term, we are in trouble!)
     
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