The unit impulse function, in a few textbooks that I have referred, has a value of 0 at t≠0 , and an area of unity (1). The height of the impulse function also tends to infinity at t=0. But since it's height cannot be it's magnitude (as we generally use it's unit area in calculations), what would be the value/amplitude/magnitude of the unit impulse function at t=0?
Before you say that my question has answered itself, and that it's value is one(1) at t=0, note that this is not defined as such in any standard textbooks. This question has been bothering me for quite a while now, so any attempt at elaborating a solution will be highly appreciated.