Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε-δ proof.
Let fx=x2-x-2(x2-4) if x≠±2c if x=2 Find c that would make f continuous at 1. For...
x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с
(x2-3x+2 1. (10 marks) Let f(x) if x # +1 (x2-1) с if x = 1 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε - 8 proof.
(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 -...
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 proof. 2. (10 marks) Prove that f(x) 6 ln(x –...
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 proof. 2. (10 marks) Prove that f(x) 6 ln(x –...
:) Set f(x) = x²-x-2 (x²-4) if x=2 Find c that would make t continuous at 2. For each c, prove that it is Contencious at I using an e-og proof.
Let f(x) =1/(1+x2) (a) Prove that f(x) is continuous at any a ∈ R. (b) If e = 0.1 and a = 10, find a 6 that satisfies the definition of continuity. Do the same for a = 50 and a = 100. (c) Recall from the in-class portion of Exam 2 that you proved that g(x) = 3x + 5 is continuous at any a ∈ R. For ε = 0.1 and a = 10, find a δ that works. Repeat for a=...
Х 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. LA UUUUU Enable Editing X (x2-x-2 1. (10 marks) Let f(x) = if x +2 (x2-4) 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 - S proof. 2. (10 marks) Prove that f(x) = 6 ln(x –...
12. Let f be integrable on a closed interval [a, b]. Suppose that there is a real number C such that f(x) 2C for all E a, b (1) Prove that if С > 0, then, is also integrable on [a,b, (6 Marks) (2) If C 0, i, still integrable (assuming f(x) 0 for any x E [aA)? If yes, supply a short proof. If no, give a counterexample. (6 Marks) 12. Let f be integrable on a closed interval...
12. Let f be integrable on a closed interval [a, b]. Suppose that there is a real number C such that f(x) 2C for all E a, b (1) Prove that if C>0, then 7 is also integrable on la,b] (6 Marks) (2) If C 0, i, still integrable (assuming f(x)关0 for any x E [aM)? If yes, supply a short proof. If no, give a counterexample. (6 Marks) 12. Let f be integrable on a closed interval [a, b]....