+0  
 
0
354
3
avatar+37 

Hey,

 

Right now I know as a fact that 

 

\((1+x/n)^n = e^x \)

 

However, I'm not sure what happens when

 

\(​​​​(​​(1+x/n)^n)^2 = ???\)

 

Or even when

\((1-x/n)^n\)

bingby  Apr 18, 2017
 #1
avatar+80 
+1

you make complex numbers look very easy *dizzy*

wgunningham  Apr 18, 2017
 #2
avatar
0

Simplify [(1 + x/n)^n]^2 =((n + x)/n)^(2 n)

 

Simplify (1 - x/n)^n = (-(x - n)/n)^n

Guest Apr 18, 2017
 #3
avatar+26965 
+1

You've not got it quite right!  You need to take the limit as n tends to infinity to get the exponential function:

 

.

Alan  Apr 18, 2017

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