Math Problem Statement
Show that a/✔️1+a^2+b/✔️1+b^2+c/✔️1+c^2<3✔️3/2 if 1/an1/bc+1/ca=1 through out Jensen
Solution
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Math Problem Analysis
Mathematical Concepts
Inequalities
Jensen’s Inequality
Concavity
Algebra
Formulas
a/√(1 + a^2) + b/√(1 + b^2) + c/√(1 + c^2) < 3√3/2
f(x) = x/√(1 + x^2)
Theorems
Jensen’s Inequality
Suitable Grade Level
Grades 11-12
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