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Error Bound on Tangent Maclaurin Series

  1. Nov 18, 2011 #1
    Salutations! Just checking if my logic is correct.

    1. The problem statement, all variables and given/known data
    I need to bound the error for [tex] \tan x [/tex] on [tex] [0, \frac{\pi}{2}] [/tex]

    2. Relevant equations
    R_n(x) = \displaystyle \frac{\tan^{n+1}(\zeta)}{(n+1)!}x^{n+1}

    3. The attempt at a solution
    So...I thought that the error should go to 0 since the factorial will eventually overtake the polynomial. Then, I thought that this logic might break down since [tex] \tan x [/tex] goes to infinity on the interval. Am I overthinking this?

  2. jcsd
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