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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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Topic review (newest first)

scientia
2012-10-28 10:47:28

Let
; then
when
. So
is decreasing for
; as
,
, i.e.
.

bob bundy
2012-10-27 21:31:57

Looks to me that y = x^(1/x) has a single maximum at x = e.

See graph and derivative graph.

Bob

bobbym
2012-10-27 20:50:54

Hi;

e^e is not greater than π^π. That is not what I said. You did something wrong with the first step.





From here it is an ugly calculus problem.

Harold
2012-10-27 20:47:54

You mean e^e is always bigger than pi^pi?but why?

bobbym
2012-10-27 20:26:19

Hi Harold;


This one has been around for a long time. The standard answer starts with raising both sides to the power of



after that it is a maxima-minima problem.

Harold
2012-10-27 19:46:42

What is the solution of this problem?and how is the problem solved-

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