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

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The discussion centers on proving that the limit of 1/|a| f_x((y-b)/a) as a approaches 0 converges to delta(y-b). Participants question the definitions of "delta(y-b)" and "f_x," with suggestions that "delta(y-b)" may refer to the Dirac delta function. The clarity of the problem definition is also highlighted as a concern. Overall, the conversation emphasizes the need for precise definitions to facilitate understanding and resolution of the limit.
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Show the following limit will converge to delta(y-b),

lim 1/|a| f_x((y-b)/a)=delta(y-b)
a-->0
 
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How are you defining "delta(y- b)"?
 
And what is [math]f_x[/math]?

-Dan
 
luppin said:
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.
 

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