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\(\displaystyle\lim_{x\rightarrow\infty}(\dfrac{x+2}{x})^{3x}\)

Help me. :( if you not helping me gonna beat you up.

 Aug 24, 2016
edited by MaxWong  Aug 24, 2016

Best Answer 

 #4
avatar+33661 
+10

Have a look at this Youtube video:  https://www.youtube.com/watch?v=n0VFDT3ZObY for a proof.

 Aug 24, 2016
 #1
avatar+33661 
+10

Like so:

 

.

 Aug 24, 2016
 #2
avatar+9673 
+5

\(\displaystyle\lim_{x\rightarrow \infty}\left(1+\dfrac{2}{x}\right)^x=e^2?\)Why? Please elaborate more.

MaxWong  Aug 24, 2016
 #3
avatar+33661 
+10

 

One way of defining e^x is  \(e^x=lim_{n\rightarrow\infty}(1+\frac{x}{n})^n\)

Alan  Aug 24, 2016
 #4
avatar+33661 
+10
Best Answer

Have a look at this Youtube video:  https://www.youtube.com/watch?v=n0VFDT3ZObY for a proof.

Alan  Aug 24, 2016
 #5
avatar+182 
+5

relly max beat up do not do it okkk

 Aug 24, 2016
 #6
avatar+9673 
0

LOL

MaxWong  Aug 24, 2016
 #7
avatar+9673 
0

I can't actually beat you up XD

MaxWong  Aug 24, 2016

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