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This exercise guides you to find the Maclaurin series for the hyperbolic cosine function, \(\cosh(x)\).
  1. Start with the Maclaurin series for \(e^u\). By substituting \(u=-x\), find the Maclaurin series for \(f(x)=e^{-x}\).
  2. The hyperbolic cosine is defined as \(\cosh(x) = \frac{e^x + e^{-x}}{2}\). Use your series for \(e^x\) and \(e^{-x}\) to find the Maclaurin series for \(\cosh(x)\).

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