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Math Help - series problem

  1. #1
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    series problem

    if f(x)= \sum_{k=0}^{\infty} (cos^2x)^k, then f(\frac{\pi}{4}) is
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  2. #2
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    \cos^2(\frac\pi4) = \frac12.
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  3. #3
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    So this is simply the geometric sum \sum_{k=0}^\infty \left(\frac{1}{2}\right)^2
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