Going over some revision. Not really sure what to do for the last bit of aii)
I know at $x = 0$, it will converge to $0$ and at $x = \frac{M}{2}$ it will converge to $1$, I'm not seeing how this relates to answering the last bit. Thanks!
2026-04-25 21:44:56.1777153496
Fourier Series Convergence
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It should converge everywhere $f$ is continuous to the value of $f$ here. This gives the result you need. As far as I can see, they're just emphasizing that it works in the middle but not at the endpoints. The "hence" seems misleading.