# For which natural numbers "n" is irrelevance?

##
x - real number

x > -1

#(1+x)^n > 1+nx#

have to prove

x - real number

x > -1

have to prove

##### 1 Answer

Feb 25, 2018

#### Explanation:

Let

Next, we compute

Therefore, for

On the other hand, for

Putting these facts together and applying the Racetrack Principal allows us to say that