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Math Help - Taylor series of cos proof

  1. #1
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    Taylor series of cos proof

    Prove that the Taylor series for y = cos x, centred at 0, converges to cos x
    for every x in R.

    How would I do this?
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    You can use either the ratio test or the root test to show that the series converges for all x.
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  3. #3
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    That won't show that it converges to cos x though...wouldn't it just show whether it is convergent or not.
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  4. #4
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    Nevermind, I'll assume I don't have to prove the Taylor series expansion of cos x converges to cos x.
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