What is the value of e when substituting n=infinity into the limit (1 + 1/n)^n?

[tahayassen]

Thanks! I understand now.

 

[tahayassen]

Actually, one last thing, if I look at your third term:

$$\frac { 1 }{ 2 } (n^{ 2 }-3n+2)n^{ n-2 }$$

But shouldn't it be:

$$\frac { 1 }{ 2 } (n)(n-1)n^{ n-2 }\\ =\frac { 1 }{ 2 } ({ n }^{ 2 }-n)n^{ n-2 }$$

 

[Steely Dan]

Yes, I tried doing the coefficients in my head when I wrote that and evidently made a mistake. Fortunately it didn't affect the leading term.