2. Let f RR be a continuous function lim_f(x) = Land_lim_ƒ(x) = L. x-x 8个8 Prove that if there is c ER with f(c) > L, ƒ has maximum value on R.
2. Let f RR be a continuous function lim_f(x) = Land_lim_ƒ(x) = L. x-x 8个8 Prove that if there is c ER with f(c) > L, ƒ 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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Prove that if there is c ∈ R with f (c) > L, f has maximum value on R.
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