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
Let fx=x2-x-2(x2-4) if x≠±2c 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-δ proof. x2-x-2 с 1. (10 marks) Let f(x) = (x2-4) if x # +2 if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at I using an E-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 –...
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=...
Let 3x+2 x at lo С of Find a that would make f continously for such a prove that of continous E-s. at
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 –...
7. Let f(x) = 3x + 4. We know that f(x) is big-O of x2. Find the lowest k that works for C = 1 and justify your answer fully. Note that you have to show two aspects: your k works and the no lower k value work. Important: you must show all work on free response questions. If the question asks you to prove something, you must write a proof as explained in the presentations and additional handouts on...
sin x 5. (10 marks) Check whether f(x) = х if x = 0 if x = 0 is differentiable at x=0. Prove it using an ε - 8 1 proof.