Hi I need help again on my assignment, it's kindda hard...I did do what I could but I can't come up with anything@@" please help(adsbygoogle = window.adsbygoogle || []).push({});

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Let F(x)=ln(x). We know that F'(x)=1/x. We will use this fact and the definition of derivatives to show that lim(n->inf) (1+1/n)^n=e

a) Use the definition of the derivative to show that

f'(1)=lim(h->0)(ln(1+h)/h)

b)Show that (a) implies that

ln[lim(h->0)(1+h)^1/h]=1

c) Set h=1/h in (b) and let n-> inf Show that this implies

lim(n->inf) (1+1/n)^n=e

PLEASE HELP

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# Homework Help: Need help on proof

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