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.

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Chapter2: Second-order Linear Odes
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Prove that if there is c ∈ R with f (c) > L, f 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.
Transcribed Image Text: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.
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