+0   
 
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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
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3+0 Answers

  #1
avatar +80 
+1

you make complex numbers look very easy *dizzy*

wgunningham Apr 18, 2017
  #2
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 +25439 
+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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