(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I've heard this affirmation in an gravitation lecture. I thought it was interesting and decided to check it out. It turns out to be true so I decided to prove it.

I'm not a mathematician so proving stuff is not my department. Still I try to do some proofs just for fun. I hope I don't make your eyes bleed or something.

2. Relevant equations

[itex]\lim_{x \rightarrow 0} (1 + x)^n[/itex]

3. The attempt at a solution

I'm not sure if I should try prooving by epsilon-delta or by mathematical induction (if that is even possible)

I did try by mathematical induction but it didnt look convincing

How would you do it?

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# Homework Help: Proving (1+x)^n approaches 1 + nx when x goes to zero

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