Show that is a decreasing function for x > e and n > 0. f(x) In xn
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Show thatis a decreasing function for x > e and n > 0.
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f(x) In xn X
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fx In x n X X n ln x ...View the full answer
Answered By
Mohammed Racim MOUSSA BOUDJEMAA
I tutored many students at my college and still do, my predominant skill is making accurate analogies, for Example : I was asked to explain in plain English what is meant by an equivalence class.
the following was my answer :
"here's an analogy that'll hopefully shed some light :
consider the equivalence relation 'lives in the same country' defined over the set of all the inhabitants of planet earth.
it is indeed an equivalence relation because :
-every person lives in the country that they live in
-if a person 'A' lives in the same country as a person 'B' then 'B' lives in the same country as 'A'
-if a person 'A' lives in the same country as a person 'B' and the person 'B' lives in the same country as a person 'C' then 'A' lives in the same country as 'C'
now think of the equivalence class of a person 'X' as their country
example : I'm Algerian my equivalence class with respect to that equivalence relation is simply Algeria"
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