Exercise 5.4.1

Question

Sketch a graph of $(1/2)h(2x)$ on $[-2,3]$. Give a qualitative description of the functions
    $$h_n(x) = \frac{1}{2^n}h(2^n x)$$ as $n$ gets larger.

Ulisse Mini · Accepted Answer

$(1/2)h(2x)$ looks like $h(x)$ shrunk down by a factor of 2 - both the amplitude and the period of the sawtooth are halved. Similarly, $h_n(x)$ looks like $h(x)$ shrunk down by a factor of $2^n$.

Exercise 5.4.1

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Exercise 5.4.1

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