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It is known that there exists the dirac delta function: $$\delta(x) =\bigg\{\begin{array}{rr}\infty,\quad x = 0\\0,\quad x\neq 0\end{array}$$

One of the properties of the delta function is "The distributional product of δ with x is equal to zero": $$x\delta (x)=0$$

As it is a property, it is assumed to be correct for every value of x.

However, when x = 0, $$0\cdot \infty = 0$$<--- What on Earth did I see???

Am I crazy???

MaxWong  Mar 26, 2017
edited by MaxWong  Mar 26, 2017
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