Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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#1 2012-10-27 19:46:42
- Harold
- Guest
Inequality with pi and e
What is the solution of this problem?and how is the problem solved-
#2 2012-10-27 20:26:19
- bobbym
- Administrator
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Re: Inequality with pi and e
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.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#4 2012-10-27 20:50:54
- bobbym
- Administrator
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Re: Inequality with pi and e
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.
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#6 2012-10-28 10:47:28
- scientia
- Full Member
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Re: Inequality with pi and e
Let ; then when . So is decreasing for ; as , , i.e. .