this post was submitted on 06 Nov 2024
17 points (100.0% liked)

Daily Maths Challenges

191 readers
2 users here now

Share your cool maths problems.



Complete a challenge:


Post a challenge:


Feel free to contribute to a series by DMing the OP, or start your own challenge series.

founded 6 months ago
MODERATORS
 

Yeah I can't lie, there is no calling this a daily challenge now.

Anyhow, have a go at proving this, I don't want any unrigorous "imagine zooming in until the line is straight" nonsense.

Difficulty: not a lot

Would appreciate if u put ur proofs or attempts below, I got a proof but it's like kinda mediocre.

all 2 comments
sorted by: hot top controversial new old
[–] subzero@lemmy.dbzer0.com 4 points 1 week ago* (last edited 1 week ago)

Substitute u = ah, rewrite to a × (standard def of derivative with u -> 0)? Lim h -> 0 implies u-> 0 (easily prooven using epsilon delta), so I think that should suffice?