zero to an imaginary power

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=-ExXldVjYp8

We know i^0=1 but what is 0^i? In fact, it turns out 0 to the i-th power is another undefined expression. This is a very interesting complex analysis topic. Whenever we have a real number raised to a complex power, things might get strange. If you find math fascinating, then you should also check out this video on how we should really compute i^(4/4) • be careful when an imaginary number i... • Likewise (infinity)^i doesn't exist either. • 💪 Join our channel membership (for as low as $0.99 per month) to unlock several perks, including special badges and emojis during the livestreams: / @blackpenredpen • 🏬 Shop math t-shirt hoodies: https://teespring.com/stores/blackpen... • 10% off with the code TEESPRINGWELCOME10 • 😎 IG: / blackpenredpen • ☀️ Twitter: / blackpenredpen • Equipment: • 👉 Expo Markers (black, red, blue): https://amzn.to/2T3ijqW • 👉 The whiteboard: https://amzn.to/2R38KX7 • 👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integral...

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