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Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1+ na n f(x) = {! 0

Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1+ na n f(x) = {! 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1 + na n f(x) = 0
Transcribed Image Text:Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1 + na n f(x) = 0
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