PI Function
PI Function
Nov 6, 2022
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53K views · 465 reactions | Positive and negative regions of a function | Magic PI - math animations | Facebook
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53K views · 465 reactions | Positive and negative regions of a functio…
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Math Animations on Instagram: "Pi and e are two of the most fascinating numbers in mathematics, each with a rich history and deep significance. Pi represents the ratio of a circle’s circumference to its diameter. Its decimal expansion never ends and never repeats, making it an irrational number that has captivated mathematicians for centuries. From ancient Babylonian approximations to modern supercomputers calculating trillions of digits, pi has always been a symbol of mathematical mystery and b
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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
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