+0  
 
0
423
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+27219 
+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

31 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.