how do we show the limit of (1+1/x)^x is e (as x tends to infinity) by bounding it above and showing that it is an increasing sequence?
Thanks for any help
how do we show the limit of (1+1/x)^x is e (as x tends to infinity) by bounding it above and showing that it is an increasing sequence?
Thanks for any help
Let's consider the function . For is...
(1)
... so that is...
(2)
From (1) it is easy to derive that if is so that is an increasing function...