Question: You have the following function to solve: Show that this function could be solve, using H(x;a), which the unit step function or heavyside function: Use

You have the following function to solve:

( f(x)=delta(x) )Show that this function could be solve, using H(x;a), which the unit step function or heavyside function:

( delta(x)=lim _{a ightarrow 0} frac{1}{a} H(x ; a) )

Use the following representation of the FT

( F(omega)=frac{1}{sqrt{2 pi}} int_{-infty}^{infty} f(x) e^{-2 i pi omega x} d x )

Write down all steps, readable and cleanly, and remember it is necessary to use the unit step function to solve this problem.

f(x) = 8(x)

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