🔥 The BEAUTIFUL Limit that Equals e/2! 🤯Ever seen this crazy limit?

Описание: lim(x→0) [(1+x)^(1/x) - e]/x = e/2Why does it equal e/2? Let me show you the COMPLETE algebraic proof! 📐✨🎯 Here's the method:✅ Define f(x) = (1+x)^(1/x)
✅ Recognize it's a DERIVATIVE in disguise!
✅ Use logarithmic differentiation
✅ Apply L'Hôpital's Rule for the 0/0 form
✅ Get f'(0) = e/2💡 The Key Insight:
This limit is actually the derivative of e^x at x=0! It's one of the most beautiful connections between limits and derivatives in calculus! 🎓📚 Perfect for:

Calculus students
AP Calculus AB/BC
College math courses
Anyone who loves elegant proofs!
🔔 Save this for your calculus exam!Follow @simplemathforall for more mind-blowing math proofs! ❤️⭐Drop a 🔥 if you understood the proof!
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