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Math Help - Find convergence by using taylor series

  1. #1
    Junior Member
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    Find convergence by using taylor series

    \lim_{x\to 0}\frac{cosx-cos(3x)}{sin(x^2)}

    I'm having trouble finding things to cancel out to get the right answer.

    and also

    si(x)=\int_{0}^{x} \frac{sin(t)dt}{t}

    \lim_{x\to 0} \frac{si(x)-x}{x^3}

    Same thing
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  2. #2
    Super Member redsoxfan325's Avatar
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    Do you have to use taylor series, or can you use other methods?
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  3. #3
    Junior Member
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    My professor said do by series
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