MHB Converging to Delta(y-b): Solving the Limit of f_x((y-b)/a) as a Approaches 0

[luppin]

Show the following limit will converge to delta(y-b),

lim 1/|a| f_x((y-b)/a)=delta(y-b)
a-->0

 

[HallsofIvy]

How are you defining "delta(y- b)"?

 

[Greg]

Maybe the Dirac delta function?

 

[topsquark]

And what is [math]f_x[/math]?

-Dan

 

[SatyaDas]

Show the following limit will converge to delta(y-b),

lim 1/|a| f_x((y-b)/a)=delta(y-b)
a-->0

Problem definition is not clear.