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

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In summary, a limit is a mathematical concept denoted by the symbol lim that describes the behavior of a function as the input approaches a certain value. It helps us understand the behavior of functions and their graphs, determine the value of a function at a point where it may not be defined, and find the maximum and minimum values of a function. To find the limit of a function, you can use direct substitution or algebraic manipulation. Common types of limits include one-sided limits, infinite limits, and limits at infinity. It is important to check the limit laws when solving limits to ensure accuracy and better understand the behavior of a function.
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luppin
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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)"?
 
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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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