# Thread: upper bound of a sequence of functions

1. ## upper bound of a sequence of functions

can someone help me with finding a suitable upper bound of the sequence of functions

$f_{n}=\Bigl(1+\frac{x}{n}\Bigr)^{n}e^{-2x}$

how to show that this sequence is monotone? (increasing)

2. ## Re: upper bound of a sequence of functions

See the links in this post.

thank you!