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Math Help - Evaluate the limit

  1. #1
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    Evaluate the limit


    Question 2 the limit of (1-cos(x))/(x^2) as x approaches 0. i applied l'Hospitals rule twice and came up with -1/2 my professor got positive 1/2 help me out.
    -i know it has the form 0/0.
    -after i applied LH rule the 1st time i got (0+1sinx)/(2x)
    -LH applied twice i got (-cos(x))/(2) = -1/2







    Also this problem has been troubling me is there a formula that could help me out? thanks everyone.
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  2. #2
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    Quote Originally Posted by Johnny Walker Black View Post

    Question 2 the limit of (1-cos(x))/(x^2) as x approaches 0. i applied l'Hospitals rule twice and came up with -1/2 my professor got positive 1/2 help me out.
    -i know it has the form 0/0.
    -after i applied LH rule the 1st time i got (0+1sinx)/(2x)
    -LH applied twice i got (-cos(x))/(2) = -1/2

    The derivative of \sin x is \cos x , with a positive sign, not negative.





    Also this problem has been troubling me is there a formula that could help me out? thanks everyone.
    The formula for velocity depending on constant acceleration (gravity's) and initial velocity, which I don't remember right now (I'm a mathematician, not a physicist), but it looks something like v=v_0+at , or stuff.

    Tonio
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