This may not be the neatest way to do this.
binomial theorem
bracketed terms are positive and all less than 1
less than infinite geometric sum
the rest should be easy.
Bobak
Hi guys, just got a question of Analysis on Sequences.
a sequence e(n) (sry dun know how to type (en) little n.
ok....
e(n)=(1+1/n)^n
(a). Show that e(n) is bounded above
(b). Use The Monotone Convergence Theorem to conclude that e(n) converges to a limit "e", and give an interval of length less than one in which "e" lies. The number "e" is called the Euler Number.
Appreciate!!!