Proof of lim n approaches infinity (1+1/n)^n = e

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#lim #limit

Mathisyourfriend

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c'est faux puisque démontre le dérivée de ln (x)v=1/x on a besoin de cette limitr

syphaxjuba

Sorry, but this video is totally wrong.The problem is that to find out what the derivative of a logaritm is, you have to know the value of the limit itself. So, to prove your limit, you cannot use any result that depends on the knowing of the limit itself, this means you canno use De l'Hopital. This is called circular reference and cannot be used as a proof. Please delete this video as fast as you can.

apriparentesi

Man thank you so much, even though im not studying any math course rn, yet this video was so easy to follow.

mohammedsaleh

how can you put the ln inside the limit?

damose

This is not thanks time why we use differencition in this even derivative is derive from this equation this is common sence questions do it by your mind

NihalRaj-xdjv

how can the ln be put inside the limits? pls answer

damose

good but you just verified that's it's it equal to this lim you didn't proove it from the beggining

francaishaitam

أظن أنّ هناك من يعرّف العدد e بهذه الطريقة:
lim_(x->∞) [(1+(1/n))^n]
ومن ثم يستنتجون بقية الخواص لاحقاً، بمعنى آخر، لا تعتبر هذه الخاصية مما يجب برهانه وإنما هي الأساس الذي يتم استنتاج الأشكال الأخرى للعدد e من خلاله

زكريا_حسناوي

is it n approaches 0 or n approaches infinity?

ppbuttocks

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