- #1
PhyAmateur
- 105
- 2
I was studying Dirac delta function, when I ran across this statement:
The Dirac delta function is defined by: $$\delta(x) = lim _{K \to \infty } d_K(x), $$ where
$$ d_K(x) = \int_{-K/2}^{K/2} \frac{dk}{2\pi} e^{ikx}$$
I was thinking that as $$K\to \infty$$ the integral won't be defined. What's going on here?
Thank you
The Dirac delta function is defined by: $$\delta(x) = lim _{K \to \infty } d_K(x), $$ where
$$ d_K(x) = \int_{-K/2}^{K/2} \frac{dk}{2\pi} e^{ikx}$$
I was thinking that as $$K\to \infty$$ the integral won't be defined. What's going on here?
Thank you