I do understand that is the number such that

and how it is obtained.

But I don't understand how the definition of the function as a limit of a sequence is obtained, i.e.

Is there a proof?

Appreciate those who help. Thanks!

Printable View

- Jul 1st 2009, 01:27 AMacc100jtDefinition of exponential functions
I do understand that is the number such that

and how it is obtained.

But I don't understand how the definition of the function as a limit of a sequence is obtained, i.e.

Is there a proof?

Appreciate those who help. Thanks! - Jul 1st 2009, 01:34 AMsimplependulum
We can expand it by Binomial Theorem

By taking the limit , n tends to infinity ,

- Jul 1st 2009, 01:50 AMacc100jt
great, thanks!