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# Limits of sequences watch

1. Hi, I missed a few lectures and I totally don't understand this.

Why does (1 + (1/n) )^n tend to e, as n tends to infinity?

I've got some similar questions to work through but I don't understand the concept at all, I just think they should all tend to 1...
2. http://pirate.shu.edu/projects/reals/numseq/s_expx.html

edit: If you want to know why Euler's sequence converges to e, Google is your friend.
3. (Original post by D-Day)
http://pirate.shu.edu/projects/reals/numseq/s_expx.html

edit: If you want to know why Euler's sequence converges to e, Google is your friend.
Thankyou so would

(1 + (1/2n))^n tend to e^2?
4. (Original post by jobo3)
Thankyou so would

(1 + (1/2n))^n tend to e^2?
Almost.

5. The most useful thing I lernt from this (when I learnt it) was that ln(1 + (1/n)) tends to (1/n) as n tends to infinity - which is a nice tool sometimes.

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