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10 marks) Prove that f(x) = 6 ln(x – 11) is not uniformly continuous on (0,0).
2. (10 marks) Prove that f(x) = 6 ln(x – 11) is not uniformly continuous on...
2. (10 marks) Prove that f(x) = 6 ln(x – 11) is not uniformly continuous on (0,00)
2. (10 marks) Prove that f(x) = 5 ln(x – 7) is not uniformly continuous on...
2. (10 marks) Prove that f(x) = 5 ln(x – 7) is not uniformly continuous on (0,00).
(10 marks) Prove that fx=6ln(x-11) is not uniformly continuous on (0,∞) Х Enable Editing X i...
(10 marks) Prove that
fx=6ln(x-11)
is not uniformly continuous on (0,∞)
Х Enable Editing X i PROTECTED VIEW Be careful—files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. LAAM Yuuuus = (x2-x-2 1. (10 marks) Let f(x) (x2-4) if x # +2 с if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε -...
8. *** Prove that f(x) = ? is not uniformly continuous on (0,0). Remark: Recall that...
8. *** Prove that f(x) = ? is not uniformly continuous on (0,0). Remark: Recall that we proved in class that f(0) = .za is not uniformly continuous on (0,0). I remind you of this result in case it helps you think about how to approach this exercise.
Prove that f(x) = is uniformly continuous on (1,00) and not uniformly continuous on (0,1). (19...
Prove that f(x) = is uniformly continuous on (1,00) and not uniformly continuous on (0,1). (19 pts)
2. a. Prove that f(x) = V22 - 13 is uniformly continuous on the interval (7,0)....
2. a. Prove that f(x) = V22 - 13 is uniformly continuous on the interval (7,0). b. Prove or disprove: f(x) = V x2 - 13 is not uniformly continuous on the interval ( 13, 7). c. Prove or disprove: If a > 13, f(x) = 32-13 is uniformly continuous on the interval (a,
Prove that f(x) is uniformly continuous on [0 inf) if lim f(x) = 0.
Prove that f(x) is uniformly continuous on [0 inf) if lim f(x) = 0.
2) Drove that f(x) = 6 lom (x-11) is uniformly continuous on (0, ) not
2) Drove that f(x) = 6 lom (x-11) is uniformly continuous on (0, ) not
Let f:D + R be a function. (a) Recall the definition that f is uniformly continuous...
Let f:D + R be a function. (a) Recall the definition that f is uniformly continuous on D. (You do not need to write this down. This only serves as a hint for next parts.) (b) Use (a) and the mean value theorem to prove f(x) = e-% + sin x is uniformly continuous on (0, +00). (c) Use the negation of (a) to prove f(x) = x2 is not uniformly continuous on (0,0).
(10) Prove that if (fn) is a sequence of uniformly continuous functions on the interval (a,...
(10) Prove that if (fn) is a sequence of uniformly continuous functions on the interval (a, b) such (a, b), then f is also uniformly continuous on (a, b) that f funiformly on en dr 0. (11) Show that lim n-+o0 e (10) A G.. 11d
2. (10 marks) Prove that f(x) = 6 ln(x – 11) is not uniformly continuous on (0,00)
2. (10 marks) Prove that f(x) = 5 ln(x – 7) is not uniformly continuous on (0,00).
(10 marks) Prove that
fx=6ln(x-11)
is not uniformly continuous on (0,∞)
Х Enable Editing X i PROTECTED VIEW Be careful—files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. LAAM Yuuuus = (x2-x-2 1. (10 marks) Let f(x) (x2-4) if x # +2 с if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε -...
8. *** Prove that f(x) = ? is not uniformly continuous on (0,0). Remark: Recall that we proved in class that f(0) = .za is not uniformly continuous on (0,0). I remind you of this result in case it helps you think about how to approach this exercise.
Prove that f(x) = is uniformly continuous on (1,00) and not uniformly continuous on (0,1). (19 pts)
2. a. Prove that f(x) = V22 - 13 is uniformly continuous on the interval (7,0). b. Prove or disprove: f(x) = V x2 - 13 is not uniformly continuous on the interval ( 13, 7). c. Prove or disprove: If a > 13, f(x) = 32-13 is uniformly continuous on the interval (a,
2) Drove that f(x) = 6 lom (x-11) is uniformly continuous on (0, ) not
Let f:D + R be a function. (a) Recall the definition that f is uniformly continuous on D. (You do not need to write this down. This only serves as a hint for next parts.) (b) Use (a) and the mean value theorem to prove f(x) = e-% + sin x is uniformly continuous on (0, +00). (c) Use the negation of (a) to prove f(x) = x2 is not uniformly continuous on (0,0).
(10) Prove that if (fn) is a sequence of uniformly continuous functions on the interval (a, b) such (a, b), then f is also uniformly continuous on (a, b) that f funiformly on en dr 0. (11) Show that lim n-+o0 e (10) A G.. 11d
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