# N-fold smoothed function

The idea of smoothing a function is an important concept in signal processing. If `f` is a function and `dx` is some small number, then the smoothed version of `f` is the function whose value at a point `x` is the average of `f(x − dx)` , `f(x)` , and `f(x + dx)` . Write a procedure `smooth` that takes as input a procedure that computes `f` and returns a procedure that computes the smoothed `f` . It is sometimes valuable to repeatedly smooth a function (that is, smooth the smoothed function, and so on) to obtained the `n` -fold smoothed function. Show how to generate the `n` -fold smoothed function of any given function using `smooth` and `repeated` from exercise 1.43 .

##### # Aviv Yodfat 3 months ago

The solution here is incomplete! It is not enough to create a smooth procedure, but to make it iterate on the smoothed procedure.

Notice how the book instructs using the repeat function, but it is not done so here! I say it with frustration, because I could not figure it out😭