Estimation quiz!
07-30-2020, 02:34 PM
Post: #8
 Massimo Gnerucci Senior Member Posts: 2,653 Joined: Dec 2013
RE: Estimation quiz!
(07-30-2020 02:24 PM)Werner Wrote:  Or, even simpler:

Since e^x = 1 + x + x^2/2 +…, e^x > 1 + x if x>0
Take x = pi/e - 1, x>0 because pi>e
e^(pi/e-1) > 1 + pi/e - 1
e^(pi/e) / e > pi/e
e^(pi/e) > pi
(e^(pi/e))^(e) > pi^(e)
e^pi > pi^e

Cheers, Werner

Clever! ;)

Greetings,
Massimo

-+×÷ ↔ left is right and right is wrong
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