2. Let f RR be a continuous function lim f(x) = L and lim f(x) = L. 81个″ xx Prove that if there is c ER with f(c) > L, f has maximum value on R.
2. Let f RR be a continuous function lim f(x) = L and lim f(x) = L. 81个″ xx Prove that if there is c ER with f(c) > L, f has maximum value on R.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f : R → R be a continuous function
lim
x→−∞ f (x) = L and lim
x→∞ f (x) = L.
Prove that if there is c ∈ R with f (c) > L, f has maximum value on R.
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