can you prove the l'hopital's rule? I'm having a hard time in my calculus and you seem to know these stuffs 😭😭😭
For the ∞/∞ case, you tweak things: instead of
f, g → 0
you require
|f|, |g| → ∞
and the same CMVT argument works.
If you want the full generality like one-sided limits, extended reals, etc, you just slap on technical conditions, but the core is the same.
So basically the L’Hôpital’s rule is just CMVT but with squiggly lines.
Hope this helped :D














