Maximum-Minimum Theorem : Continuity and Bounded Functions - (d) Does the conclusion of the Maximum-Minimum Theorem always hold for a bounded function f : R --> R that is continuous on R? Prove or give a counterexample.
(a) Fix a, b E R, a < b. Prove that if f ...
Interval of Convergence - Find the open interval of convergence and test the endpoints for absolute and conditional convergence
(x+3)^n / n!
Real Analysis / Absolute Max and Min - I would like help with the following problem:
Find with proof the absolute maximum and minimum values of
f(x) = x^4 + 2x^2 - 4 on the interval [0,3].
There's a hint saying that you can prove t ...