Re: Elementary Theory of Numbers

On Mon, 6 Oct 2008, quasi wrote:
<edgar@xxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote:
<quasi@xxxxxxxx> wrote:
<marsh@xxxxxxxxxxxxxxxxxx> wrote:
On Sat, 4 Oct 2008, conrad wrote:

Show that if n is a positive integer and
x is a real number larger than -1,
then (1 + x)^n > 1 + xn

That is false for n = 1.

For n = 1, the inequality is an equality.
The strict inequality holds for n > 1.

Did you check x=0 on that?
I guess I was a little too strict.

Well, if we're not going to be strict, take n = 0.


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