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Need help evaluating a limit

  1. Oct 13, 2015 #1
    1. The problem statement, all variables and given/known data
    ##\lim_{\alpha\to\omega}-\frac{\alpha r_0}{\omega(\omega^{2}-\alpha^{2})}\sin(\omega t)+\frac{r_0}{\omega^{2}-\alpha^{2}}\sin(\alpha t)##

    2. Relevant equations
    I feel I will need to use fact ##\frac{d}{d\omega}\sin(\omega t)=t\cos(\omega t)##

    3. The attempt at a solution
    Nope not sure how to start this one I'm rusty on limitis as it is and basic idea of trying l hopitals rule or factoring tricks are not working.


    Thanks for any help
     
  2. jcsd
  3. Oct 13, 2015 #2

    Ray Vickson

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    Show us what you did, so we can point out if you made some errors. (Hint: you must have made some.)
     
  4. Oct 13, 2015 #3
    Yeah I need a hint how to even approach this limit because my calculus 1 techniques are not really going anywhere
     
  5. Oct 13, 2015 #4

    Ray Vickson

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    Show us the calculus 1 techniques you used, so we can see why you say they are not going anywhere.
     
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