Let f be a real function, defined everywhere on R. Prove that if lim f(x) = L, then also lim f(-x) = L. (Here of course lim denotes the limit as a goes to -2 from the right.) Hint: Your proof is likely to use the letters and 6.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let f be a real function, defined everywhere on R. Prove that if
denotes the
lim f(x) = L, then also lim f(-x) = L. (Here of course lim
x-2-
x→-2+
x-2+
limit as a goes to −2 from the right.)
Hint: Your proof is likely to use the letters and d.
€
Transcribed Image Text:Let f be a real function, defined everywhere on R. Prove that if denotes the lim f(x) = L, then also lim f(-x) = L. (Here of course lim x-2- x→-2+ x-2+ limit as a goes to −2 from the right.) Hint: Your proof is likely to use the letters and d. €
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