Prove lim (n→∞)⁡[(1+1/n)^n]=e

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This isn't actually showing that the limit approaches e though. At the end, you just added the terms up, and then asserted that they approach e. Why didn't you, for example, mention how much the series resembles the taylor series expansion of e^x when x = 1? That would've been an actually good proof

hydropage

Are we trying to prove that e=e? Definition of e is e = lim (1+1/x)^x. Expansion of e is defined as an expansion of lim (1+1/x)^x.

Grim_Reaper_from_Hell

Question is as same as u solve but with following word Evalute (your question) when n tends to infinity through positive itegral value Is this question still solve in same manner

muhammadasim

The problem with this proof is, as we take larger values of n, the numerator becomes larger and say if we take value of n to be hundred, then the last value of fraction 999/1000 does not tend to zero and is close to one.

ananthpadmanaban

Thank you so much sir my mind is was stucked on it😊

saheblalbareth

What is the value of this Lim n tends to ♾️ (1+ 1√n )^√n

AmitKumar-hutu

This is not a formal mathematical proof..

aformula

thank you so much, i am understood now❤

veigar

Is this English or Indian what you‘re speaking?

EinhornBoy-qgpm

it feels like that you are in other planet. Buy a new 🎤

alirezaansari

Khud ki hi practice kar rahe ho ap samja nahi rahe😳

Gigglyfun

The worst explanation i've ever seen. You cant prove that lim(1+1/n)^n = e, because it is the DEFINITION of e

АндрейМаркин-во

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