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Sin [Pi. (x-1)] / x-1; for x =1,2,3, .N

  1. Nov 19, 2008 #1
    Sin [Pi. (x-1)] / x-1; for x =1,2,3,.....N

    Sin [ Pi. (x-1) ] / (x-1) = ?

    for x=1,2,3,4,......N

    I think for Sin (x) / x =1

    but, what about that.
     
  2. jcsd
  3. Nov 19, 2008 #2

    CompuChip

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    Re: Sin [Pi. (x-1)] / x-1; for x =1,2,3,.....N

    For x > 1 it is rather obvious, you can just plug in the value.
    For x = 1 you are dividing by 0, so it is undefined. You can however take the limit, as you are indicating.
     
  4. Nov 19, 2008 #3
    Re: Sin [Pi. (x-1)] / x-1; for x =1,2,3,.....N

    for all X values will I get '0'
     
  5. Nov 20, 2008 #4

    CompuChip

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    Re: Sin [Pi. (x-1)] / x-1; for x =1,2,3,.....N

    I am assuming you mean: for all X values which are integer and at least 2. Then you are right. sin(n pi) = 0 for all integers n, and since you are dividing by something non-zero for n non-zero, you have sin(n pi)/n = 0/something = 0.

    For n = 1, you get sin((n - 1) pi) / (n - 1) which looks like 0/0 if you plug in the numbers.
     
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