this post was submitted on 07 Sep 2024
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Science Memes

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[โ€“] emergencyfood@sh.itjust.works 0 points 2 months ago (1 children)

Not a mathematician, but I'm pretty sure this isn't necessarily true. What if L is -1 and f(x) = x^2? Also I think your function has to be continuous.

[โ€“] davidagain@lemmy.world 3 points 2 months ago* (last edited 2 months ago)

You're right on all three counts. It's not always true, f(x0) has to be L, and the function has to be continuous.