How to check the positivity of a function?

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Hi,
Given a function f(x), with x defined as a symbolic variable, how can I check the positivity function of f(x)?
Any kind of help?

Accepted Answer

Walter Roberson
Walter Roberson on 29 Sep 2021
First two checks: is limit(f(x),x,infinity) negative? Is limit(f(x),x,-infinity) negative?
After that: find the critical points of f(x) using calculus, and check to see if f is negative at any of them.

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