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Math Help - Ratio Test for Taylor Expansion of Cosine

  1. #1
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    Ratio Test for Taylor Expansion of Cosine

    Can somebody tell me how the denominator contains (2n+2)(2n+1) in the answer. I am thinking (2n)!/(2n+2)! expands into (2n)!/(2n)!(2n+2). This simplifies into 1/(2n+2).

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  2. #2
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     \frac{(2n)!}{(2n+2)!} = \frac{(2n)!}{(2n+2)(2n+1)(2n)!}
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  3. #3
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    So it is. Many thanks.
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