The function is fA(x) = A, |x| < 1/A, and 0, |x| > 1/A
δ(x) = ∞, x=1, and 0 otherwise
The Attempt at a Solution
I think the answer is the Dirac delta function, however I noticed that if you integrate fA(x) between -∞ and ∞ you get 2, which if I remember rightly to be a Dirac delta function this should be 1? So perhaps the answer is 2 x δ(x)?
I'm not sure what's correct, so any help would be greatly appreciated, thank you!