daviddoji/CalculusWithJuliaNotes.jl
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some typos

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Fang Liu
2025-05-09 16:54:52 +08:00
parent d2e00d7bd9
commit f7b7df3586
3 changed files with 5 additions and 5 deletions
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quarto/limits/limits.qmd
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@@ -73,7 +73,7 @@ gif(anim, imgfile, fps = 1)
caption = L"""
The first triangle has area $1/2$, the second has area $1/8$, then $2$ have area $(1/8)^2$, $4$ have area $(1/8)^3$, ...
The first triangle has area $1/2$, the second has area $1/8$, then $3$ have area $(1/8)^2$, $4$ have area $(1/8)^3$, ...
With some algebra, the total area then should be $1/2 \cdot (1 + (1/4) + (1/4)^2 + \cdots) = 2/3$.
"""
@@ -161,7 +161,7 @@ for (x, y, n, col) ∈ zip(xs, ys, ns, (blue, green, purple, red))
end
caption = L"""
The ratio of the circumference of a circle to its diameter, $\pi$, can be approximated from above and below by computing the perimeters of the inscribed $n$-gons. Archimedes computed the perimeters for $n$ being $12$, $24$, $48$, and $96$ to determine that $3~1/7 \leq \pi \leq 3~10/71$.
The ratio of the circumference of a circle to its diameter, $\pi$, can be approximated from above and below by computing the perimeters of the inscribed $n$-gons. Archimedes computed the perimeters for $n$ being $12$, $24$, $48$, and $96$ to determine that $3~10/71 \leq \pi \leq 3~1/7$.
"""
plotly()
ImageFile(p, caption)