Originally Posted by

**measureman** Ah, this makes more sense. I was getting confused between what I was assuming. I'm sure you can tell that I'm fairly new to the DCT.

My question is why do we need the indicator functions? Can't we just use |delta(x)| instead of |delta(x)1_[-1, 1]|?

I also need to show that delta(x)e^{(-a^2)/(a^2 - x^2)} converges pointwise to 0 as a converges to 0. Now if x is not 0, this expression is 0, so of course it is true. The problem I have is with x = 0, how do I justify it here?

Thanks.