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7 hours ago comment added Mico +1. I've taken the liberty of editing your code to insert meta instructions to highlight the Lua code chunks. Feel free to revert.
7 hours ago history edited Mico CC BY-SA 4.0
added meta code to highlight Lua code chunks
15 hours ago comment added kabenyuk @user691586 I updated my answer to include Newton’s method. Choosing a suitable initial guess required a bit more care, but everything works.
15 hours ago history edited kabenyuk CC BY-SA 4.0
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16 hours ago history edited kabenyuk CC BY-SA 4.0
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17 hours ago comment added user691586 I think indeed that for plotting, obsession with Newton iteration as in my answer is a bit irrelevant as only 5 decimal places is already precise enough. But out of curioosity could you give Lua conversion of the code in my answer? (Sadly I did only explicitly the case of e^x = mx in your notations). I am unable to do it myself.
19 hours ago history answered kabenyuk CC BY-SA 4.0