Recent content by omlatte1

  1. O

    Limit as 'constant' approaches infinity

    Knowledge was in reference to the question, funnily enough I did not know the answer to my own question.
  2. O

    Limit as 'constant' approaches infinity

    This was solved a while back now.
  3. O

    Limit as 'constant' approaches infinity

    A is what I said was constant,and it is, with respect to the transform of the original rectangle function, others in this thread have quoted x as being constant. This also is valid when speaking of l'hopitals rule in part because the partial derivative of sinc with respect to A was taken. Also...
  4. O

    Limit as 'constant' approaches infinity

    It it? I think many other people like me who don't exactly understand how it works would phrase the question in a similar manner, hence the quotes for constant.
  5. O

    Limit as 'constant' approaches infinity

    Yes that is a good point, i like the analysis. I guess what I would like to know now then, is whether I can indeed use l'hopitals rule in the way I have, using A as the variable in the analysis of the limit(taking derivatives with respect to A), even though sinc was originally a function of x.
  6. O

    Limit as 'constant' approaches infinity

    hence l'hopitals rule, as sinc(x/2A)=sin(x/2A)/(x/2A)
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    Limit as 'constant' approaches infinity

    I believe you are correct cp255, I am just lacking in formal proof. cpscdave - x is inversely proportional to A, so the sin function approaches zero, but, the denominator of the sinc function (it is the sinc function not the sin function) approaches zero also...need some sort of formal analysis...
  8. O

    Limit as 'constant' approaches infinity

    Perhaps I should include that the sinc function is the Fourier transform of the ractangle function of height A and width 1/A, hence why A is 'constant'...but not...in this question.
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    Limit as 'constant' approaches infinity

    Homework Statement Determine limA→∞(sinc(x/2A)) Homework Equations I would use L'Hôpital's rule, but I'm not sure if it is valid in this case as the function is that of x, not A. I want to know if it's valid to treat x as constant and take derivatives with respect to A and evaluate as...
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