hi, i need help for this question:

where is characterestic function.

1-)what is the value of over the interval [0,1] ?

2-) if n goes to infinity and , what is the value of over the interval [0,1]

thanks for any help.

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- May 22nd 2011, 06:01 AMgilgamesLebesgue Integral
hi, i need help for this question:

where is characterestic function.

1-)what is the value of over the interval [0,1] ?

2-) if n goes to infinity and , what is the value of over the interval [0,1]

thanks for any help. - May 22nd 2011, 06:03 AMgirdav
1) What is the integral of a characteristic function ?

2) Try to find . - May 22nd 2011, 06:12 AMgilgames
1-)well the function will be equal to for and otherwise it is 0.

so i find that over [0,1]. over [0,1].

is that right?

2-) i can't figure how to find f. i sense f(x) must be zero when i graph - May 22nd 2011, 06:20 AMgirdav
1) No, we have .

2) almost everywhere, so what about ? - May 22nd 2011, 06:26 AMgilgames
1-) i got it now when graphing. i used the measure of [0,1].

2-) it equals 0

thanks anyway.