MathxMatrix on Instagram: "Why Compare pi^e and e^pi ? We often encounter expressions like a^b , but what happens when both the base and exponent are irrational — like pi^e and e^pi ? At first glance, it’s not obvious which is larger. But real analysis offers a beautiful tool: the function f(x) = x^1/x This function reaches its maximum at x = e , and decreases for x > e . That single fact unlocks the inequality pi^e < e^pi. This isn’t just a numerical curiosity, it’s a glimpse into how exponenti
0:39
Instagrammathxmatrix
MathxMatrix on Instagram: "Why Compare pi^e and e^pi ? We often encounter expressions like a^b , but what happens when both the base and exponent are irrational — like pi^e
In this video, we delve into the world of irrational numbers and explore the comparison of pi and e. Using mathematical analysis, we uncover the secrets of these two fundamental numbers and determine which is larger: pi^e or e^pi. With the help of the function f(x) = x^1/x, we gain a deeper understanding of the behavior of exponential ...
1.1K views1 month ago
Related Products
Calculus with Pi and e
e and pi mug
E Pi Mug
#Pi Day
Pi Day Explained History, Traditions, and Why We Love 3 14
Pi Day Explained History, Traditions, and Why We Love 3 14
YouTube10 months ago
What Is ‘Pi Day’ And Why Should You Care?.
What Is ‘Pi Day’ And Why Should You Care?.
MSN10 months ago
Top videos
e^pi vs pi^e #shorts #rap
0:29
e^pi vs pi^e #shorts #rap
YouTubeDr Peyam
111.6K viewsDec 27, 2020
O Que é Pi (π) e Por Que Ele Nunca Se Repete? 🤯 Explicação Simples
0:34
O Que é Pi (π) e Por Que Ele Nunca Se Repete? 🤯 Explicação Simples
YouTubeO Beltolino
20.8K views2 weeks ago
pigamma on Instagram: "A classic method to compare Pi^e and e^Pi using real analysis Dm us with your own method, maybe try to use f(x) = x^(1/x) ... #mathematics #mathmemes #pigamma #learn #study"
0:45
pigamma on Instagram: "A classic method to compare Pi^e and e^Pi using real analysis Dm us with your own method, maybe try to use f(x) = x^(1/x) ... #mathematics #mathmemes #pigamma #learn #study"
Instagrampi.gamma
8.2K views1 month ago
Pi Math Jokes
TOP 3.14 Pi Jokes OF ALL TIME
8:12
TOP 3.14 Pi Jokes OF ALL TIME
YouTubeSammy Obeid
27.5K viewsMar 13, 2024
Why You Should Never Talk to Pi | Funny Math Joke / A Math Joke That Goes On Forever!
0:27
Why You Should Never Talk to Pi | Funny Math Joke / A Math Joke That Goes On Forever!
YouTubeFun Math
1.4K views6 months ago
11K views · 145 reactions | These maths jokes can't be equalled! ➕ Neither can our love for two constants: Pi and our whole-sum appreciation for maths. Today is of course Pi Day and the International Day of Mathematics. 不 Helping us celebrate are CSIRO’s Data61 researchers, Petra Kuhnert and Cheng Soon. Both Petra and Cheng are using mathematics across different machine learning, artificial intelligence and data science applications. #IDM314 | CSIRO | Facebook
0:43
11K views · 145 reactions | These maths jokes can't be equalled! ➕ Neither can our love for two constants: Pi and our whole-sum appreciation for maths. Today is of course Pi Day and the International Day of Mathematics. 不 Helping us celebrate are CSIRO’s Data61 researchers, Petra Kuhnert and Cheng Soon. Both Petra and Cheng are using mathematics across different machine learning, artificial intelligence and data science applications. #IDM314 | CSIRO | Facebook
FacebookCSIRO
3.8K views3 weeks ago
e^pi vs pi^e #shorts #rap
0:29
e^pi vs pi^e #shorts #rap
111.6K viewsDec 27, 2020
YouTubeDr Peyam
O Que é Pi (π) e Por Que Ele Nunca Se Repete? 🤯 Explicação Simples
0:34
O Que é Pi (π) e Por Que Ele Nunca Se Repete? 🤯 Explicação Simples
20.8K views2 weeks ago
YouTubeO Beltolino
pigamma on Instagram: "A classic method to compare Pi^e and e^Pi using real analysis Dm us with your own method, maybe try to use f(x) = x^(1/x) ... #mathematics #mathmemes #pigamma #learn #study"
0:45
pigamma on Instagram: "A classic method to compare Pi^e and e^Pi …
8.2K views1 month ago
Instagrampi.gamma
Waveshare’s E-paper Hat + : The Best E-Paper Display for Your Raspberry Pi Zero W
0:49
Waveshare’s E-paper Hat + : The Best E-Paper Display for Your Ras…
13.6K views4 months ago
YouTubeValleytech Custom Solutions
Instagram
0:53
Instagram
93.4K viewsMar 13, 2024
Instagrammathvisualproofs
I built an AI Powered E-Ink Display with a Raspberry Pi #raspberrypi #diyelectronics #eink
0:19
I built an AI Powered E-Ink Display with a Raspberry Pi #raspberrypi #…
103.7K views10 months ago
YouTubeAKZ Dev
Cute E Pi (@cute_e_pi)’s videos with original sound - Illson44
0:15
Cute E Pi (@cute_e_pi)’s videos with original sound - Illson44
195 views2 weeks ago
TikTokcute_e_pi
0:33
December 24, 2025
197 views2 weeks ago
YouTubeE Pi
0:12
“Ska ujë as me e pi kafen”
2K views1 month ago
YouTubeKlanKosova
0:14
26K views · 164 reactions | Ailoga o Jason le igoa o si kama o loo fai la…
10.6K views2 weeks ago
FacebookGaleed Kaleta Kareta
0:06
bests✨✨✨ #roblox #foryou #robloxedit #edit #viral
521 views1 month ago
YouTubeLucas e pi_start
0:29
kek mau muntah gitu #firstdate #pov
16M views1 week ago
TikTokxeilyt
0:20
Descubre el filtro de audio y foto coker en TikTok
3.2M views1 week ago
TikTokelpibeacosta2
1:02
Aprendo en casa (@aprendoencasamexico) - Forma…
3M viewsNov 25, 2023
TikTokaprendoencasamexico
0:13
Pi Tiên Nhảy Đẹp Trong Kimono
717.6K views1 week ago
TikTokkimhoavotu
2:47
The Pi Song 2.0 (200 Digits of Π)
1.3M viewsFeb 27, 2024
YouTubeAsapSCIENCE - Topic
0:34
Biya e pi taba ko - Momentos divertidos
634K views2 months ago
TikToknaderalmezany
1:21
Bushman Prank: A Hilarious TikTok Experience
2M views3 months ago
TikTokepidoterevelation
0:26
timothee chalamet did his big one #fyp #lilmabu #mathematics #mat…
532.7K views2 weeks ago
TikTokantvyz
See more videos
Static thumbnail place holder