SOLVED: The Dirac δ functionThe delta function can also be described by the Gaussian functionδ(x) = lim δ(z) = lim exp(-|z|^2/2a^2)Use the definition of the δ function Eq (1) to prove the following identities.∫ δ(x)dx = 1∫ δ(c*x)dx = 1/c∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|∫ δ(f(x))dx = ∑ δ(x-xi)/|f'(xi)|

Dirac's Delta Function / Impulse Function: Simple Definition

Using these defining properties of the Dirac delta function, de... | Filo