<transcript><audio_78>now the only uh one thing more i would like to add to expression</transcript><transcript><audio_79>so from this i will prove this so if i will have e to the power of x then it's the limit of instead of one i will have x here now how can it be proved well intuitively again it's obvious</transcript><transcript><audio_80>and here is why now n is uh increasingly infinitely increasing number right x is just a fixed number just some real number x whatever it is so um</transcript><transcript><audio_81>x over n is decreasing obviously right now in this particular case we have the same thing the denominator here and the power there and we know it goes to a constant so what i'm going to do</transcript> now the only uh one thing more i would like to add to expression so from this i will prove this so if i will have e to the power of x then it's the limit of instead of one i will have x here now how can it be proved well intuitively again it's obvious and here is why now n is uh increasingly infinitely increasing number right x is just a fixed number just some real number x whatever it is so um x over n is decreasing obviously right now in this particular case we have the same thing the denominator here and the power there and we know it goes to a constant so what i'm going to do
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