How do you prove the following in regards to the sequence (1 + 1/n)^n ?
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Anonymous
| How do you prove that this is a strictly increasing sequence and that each term in the sequence is less than 3? Thanks! |
Anonymous
| OP I forgot to mention that I want to prove these things without assuming that the sequence converges to e. Indeed, I want to pretend I know nothing about the number e. |
Anonymous
|
The first part is probably an application of the ratio test.
For the second, it sounds like computing a convergence radius. It also sounds like homework. |
Anonymous
| Do your own homework kid! |
Anonymous
|
Gotta love a kid for trying!
Good luck! |