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4 Commits

Author SHA1 Message Date
john verzani
2e5c11a25f Merge pull request #155 from aligurbu/patch-2
Include Julia plot for limit function
2026-02-02 16:54:34 -05:00
john verzani
ed2e014f65 Merge pull request #154 from aligurbu/patch-1
Correct 'An historic' to 'A historic' in limits.qmd
2026-02-02 16:53:34 -05:00
Ali Gürbüz
c268744501 Include Julia plot for limit function
Add Julia code for plotting the limit function.
2026-01-31 16:40:11 -05:00
Ali Gürbüz
e47da767c8 Correct 'An historic' to 'A historic' in limits.qmd 2026-01-31 16:23:02 -05:00

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@@ -18,7 +18,7 @@ using SymPy # for symbolic limits
---
An historic problem in the history of math was to find the area under the graph of $f(x)=x^2$ between $[0,1]$.
A historic problem in the history of math was to find the area under the graph of $f(x)=x^2$ between $[0,1]$.
There wasn't a ready-made formula for the area of this shape, as was known for a triangle or a square. However, [Archimedes](http://en.wikipedia.org/wiki/The_Quadrature_of_the_Parabola) found a method to compute areas enclosed by a parabola and line segments that cross the parabola.
@@ -1371,6 +1371,12 @@ $$
The limit exists, what is the value?
```{julia}
#| hold: true
#| echo: false
f(x) = (cos(x) - 1)/x
p = plot(f, -1, 1)
```
```{julia}
#| hold: true