Fun with matplotlib!

Displays the Taylor series, eight terms worth, for sine.

In other words:

Each individual term of the series is shown in fading (not 50) shades of gray.
The first term, effectively `f(x)=x`, is the darkest line, the straight diagonal one.
Each term after is shown in a progressively lighter shade of gray.

The *sum* of the series is shown in red.
Shown in blue is `f(x)=sin(x)`.
In the `-1 pi` to `+1 pi` domain, the fit of the series sum to the `sin(x)` curve is nearly exact!

And since the `sin(x)` function repeats outside that domain,
the Taylor series provides a very accurate sine curve!

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