An Interesting Sum with Factorials 😁

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[@scottleung9587]

Awesome - that was fun to watch!

[@ianfowler9340]

You can also differentiate:
S = x + x^2/(2.2!) + x^3/(3.3!) + x^4/(4.4!) + ......
S ' = 1 + x/2! + x^2/3! + x^3/4! + .....
xS ' = x + x^2/2! + x^3/3! + x^4/4! + .....
xS ' + 1 = 1 + x + x^2/2! + x^3/3! + x^4/4! ....
xS ' + 1 = e^x
S ' = (e^x - 1)/x where S(0) = 0 and S ' (0) = 1

[@GIFPES]

Just use patter repetition, just as powers of i or arithmetic moduli.

[@yoav613]

For now?.. there is more to come..syber is on fire!!🎉🎉💥💥💥💥

[@SyberMath]

🎉❤

[@user-lu6yg3vk9z]

@@SyberMathvideo request
X+y=8
X*y=48

[@bih5058]

ezpz and I was dropped on my head as a baby

[@ruud9767]

according to my HP Prime the integration constant is -γ, approximately -0.557216, but how do we find its value for ourselves?

[@thexavier666]

Direction? I thought you were going to use vectors

[@neuralwarp]

You're assuming ! has operator precedence over • ?

[@SyberMath]

Doesn’t it?