Can you find ln(i)? Logarithm of Imaginary Numbers!
Автор: Neo EduScape
Загружено: 2025-11-19
Просмотров: 168
Описание:
In standard Calculus, we are taught that the domain of Logarithm is only x greater than 0. But in the world of Complex Numbers, we can evaluate the Natural Log of i! 📉
In this NeoEduScape short, we derive the value of ln(i) using Euler's Form (Polar Form).
Step-by-Step Derivation:
1. Plot 'i' on the Argand Plane (0, 1)
2. Convert to Polar Form: i = e^(iπ/2)
3. Apply natural log to both sides
4. The result: iπ/2 (Principal Value)
This is a perfect revision for Engineering Mathematics, JEE Advanced, and BSc Math students.
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#complexnumbers #logarithm #calculus #maths #engineeringmaths #euler #lni #mathshorts #neoeduscape #advancedmath #stem #education
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